40851323191296 has 512 divisors, whose sum is σ = 122304038400000. Its totient is φ = 13475567370240.

The previous prime is 40851323191279. The next prime is 40851323191339. The reversal of 40851323191296 is 69219132315804.

40851323191296 is a `hidden beast` number, since 4 + 0 + 8 + 5 + 1 + 32 + 319 + 1 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a congruent number.

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, 56816860825 + ... + 56816861543.

It is an arithmetic number, because the mean of its divisors is an integer number (238875075000).

Almost surely, 2^{40851323191296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40851323191296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152019200000).

40851323191296 is an abundant number, since it is smaller than the sum of its proper divisors (81452715208704).

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

40851323191296 is an equidigital number, since it uses as much as digits as its factorization.

40851323191296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 40851323191296 in words is "forty trillion, eight hundred fifty-one billion, three hundred twenty-three million, one hundred ninety-one thousand, two hundred ninety-six".