194140902740400 has 4800 divisors, whose sum is σ = 957247517952000. Its totient is φ = 37240777728000.

The previous prime is 194140902740353. The next prime is 194140902740431. The reversal of 194140902740400 is 4047209041491.

194140902740400 is a `hidden beast` number, since 1 + 94 + 1 + 4 + 0 + 90 + 2 + 74 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 81537547210 + ... + 81537549590.

It is an arithmetic number, because the mean of its divisors is an integer number (199426566240).

Almost surely, 2^{194140902740400} is an apocalyptic number.

194140902740400 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 194140902740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478623758976000).

194140902740400 is an abundant number, since it is smaller than the sum of its proper divisors (763106615211600).

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

194140902740400 is a wasteful number, since it uses less digits than its factorization.

194140902740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 194140902740400 in words is "one hundred ninety-four trillion, one hundred forty billion, nine hundred two million, seven hundred forty thousand, four hundred".