141212352014400 has 672 divisors, whose sum is σ = 478060965639936. Its totient is φ = 36476375040000.

The previous prime is 141212352014399. The next prime is 141212352014407. The reversal of 141212352014400 is 4410253212141.

It is a super-2 number, since 2×141212352014400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (141212352014407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21225361474 + ... + 21225368126.

It is an arithmetic number, because the mean of its divisors is an integer number (711400246488).

Almost surely, 2^{141212352014400} is an apocalyptic number.

141212352014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141212352014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239030482819968).

141212352014400 is an abundant number, since it is smaller than the sum of its proper divisors (336848613625536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141212352014400 is a wasteful number, since it uses less digits than its factorization.

141212352014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7831 (or 7816 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 141212352014400 in words is "one hundred forty-one trillion, two hundred twelve billion, three hundred fifty-two million, fourteen thousand, four hundred".