40351187968000 has 672 divisors, whose sum is σ = 126166738855248. Its totient is φ = 12770279424000.

The previous prime is 40351187967991. The next prime is 40351187968037. The reversal of 40351187968000 is 86978115304.

It can be written as a sum of positive squares in 8 ways, for example, as 160051204096 + 40191136763904 = 400064^2 + 6339648^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

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 47 ways as a sum of consecutive naturals, for example, 652257070 + ... + 652318930.

Almost surely, 2^{40351187968000} is an apocalyptic number.

40351187968000 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 40351187968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63083369427624).

40351187968000 is an abundant number, since it is smaller than the sum of its proper divisors (85815550887248).

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

40351187968000 is an equidigital number, since it uses as much as digits as its factorization.

40351187968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61929 (or 61888 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 40351187968000 in words is "forty trillion, three hundred fifty-one billion, one hundred eighty-seven million, nine hundred sixty-eight thousand".