40757904000 has 768 divisors, whose sum is σ = 165766124160. Its totient is φ = 9870336000.

The previous prime is 40757903999. The next prime is 40757904029. The reversal of 40757904000 is 40975704.

It is a happy number.

40757904000 is a `hidden beast` number, since 40 + 7 + 579 + 0 + 40 + 0 + 0 = 666.

It is a super-3 number, since 3×40757904000³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42767524 + ... + 42768476.

Almost surely, 2^40757904000 is an apocalyptic number.

40757904000 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 40757904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82883062080).

40757904000 is an abundant number, since it is smaller than the sum of its proper divisors (125008220160).

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

40757904000 is an equidigital number, since it uses as much as digits as its factorization.

40757904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 40757904000 in words is "forty billion, seven hundred fifty-seven million, nine hundred four thousand".