40001925379896 has 512 divisors, whose sum is σ = 118340248320000. Its totient is φ = 12650240655360.

The previous prime is 40001925379891. The next prime is 40001925379937. The reversal of 40001925379896 is 69897352910004.

40001925379896 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 1 + 9 + 2 + 537 + 9 + 8 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40001925379891) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38133388780 + ... + 38133389828.

It is an arithmetic number, because the mean of its divisors is an integer number (231133297500).

It is a 1-persistent number, because it is pandigital, but 2⋅40001925379896 = 80003850759792 is not.

Almost surely, 2^{40001925379896} is an apocalyptic number.

40001925379896 is a gapful number since it is divisible by the number (46) 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 40001925379896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59170124160000).

40001925379896 is an abundant number, since it is smaller than the sum of its proper divisors (78338322940104).

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

40001925379896 is a wasteful number, since it uses less digits than its factorization.

40001925379896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 40001925379896 in words is "forty trillion, one billion, nine hundred twenty-five million, three hundred seventy-nine thousand, eight hundred ninety-six".