40969353830400 has 672 divisors, whose sum is σ = 151978679349120. Its totient is φ = 10818941091840.

The previous prime is 40969353830399. The next prime is 40969353830453. The reversal of 40969353830400 is 403835396904.

40969353830400 is a `hidden beast` number, since 4 + 0 + 9 + 69 + 3 + 538 + 3 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×40969353830400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569512834 + ... + 569584766.

Almost surely, 2^{40969353830400} is an apocalyptic number.

40969353830400 is a gapful number since it is divisible by the number (40) 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 40969353830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75989339674560).

40969353830400 is an abundant number, since it is smaller than the sum of its proper divisors (111009325518720).

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

40969353830400 is a wasteful number, since it uses less digits than its factorization.

40969353830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72081 (or 72046 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 40969353830400 in words is "forty trillion, nine hundred sixty-nine billion, three hundred fifty-three million, eight hundred thirty thousand, four hundred".