40929935316480 has 3840 divisors, whose sum is σ = 186771345868800. Its totient is φ = 8293869158400.

The previous prime is 40929935316451. The next prime is 40929935316493. The reversal of 40929935316480 is 8461353992904.

40929935316480 is a `hidden beast` number, since 4 + 0 + 9 + 2 + 9 + 93 + 53 + 16 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×40929935316480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 362211816904 + ... + 362211817016.

It is an arithmetic number, because the mean of its divisors is an integer number (48638371320).

Almost surely, 2^{40929935316480} is an apocalyptic number.

40929935316480 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 40929935316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93385672934400).

40929935316480 is an abundant number, since it is smaller than the sum of its proper divisors (145841410552320).

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

40929935316480 is a wasteful number, since it uses less digits than its factorization.

40929935316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 40929935316480 in words is "forty trillion, nine hundred twenty-nine billion, nine hundred thirty-five million, three hundred sixteen thousand, four hundred eighty".