40671292719904 has 192 divisors, whose sum is σ = 100828350201600. Its totient is φ = 15688145940480.

The previous prime is 40671292719877. The next prime is 40671292719929. The reversal of 40671292719904 is 40991729217604.

It is a super-2 number, since 2×40671292719904² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106967122 + ... + 107346670.

It is an arithmetic number, because the mean of its divisors is an integer number (525147657300).

Almost surely, 2^{40671292719904} is an apocalyptic number.

40671292719904 is a gapful number since it is divisible by the number (44) 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 40671292719904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50414175100800).

40671292719904 is an abundant number, since it is smaller than the sum of its proper divisors (60157057481696).

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

40671292719904 is a wasteful number, since it uses less digits than its factorization.

40671292719904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380011 (or 380003 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 61.

The spelling of 40671292719904 in words is "forty trillion, six hundred seventy-one billion, two hundred ninety-two million, seven hundred nineteen thousand, nine hundred four".