40047757560000 has 1400 divisors, whose sum is σ = 151865707667520. Its totient is φ = 10429046784000.

The previous prime is 40047757559981. The next prime is 40047757560017. The reversal of 40047757560000 is 6575774004.

40047757560000 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 77 + 575 + 6 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 24828119194 + ... + 24828120806.

Almost surely, 2^{40047757560000} is an apocalyptic number.

40047757560000 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 40047757560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75932853833760).

40047757560000 is an abundant number, since it is smaller than the sum of its proper divisors (111817950107520).

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

40047757560000 is an equidigital number, since it uses as much as digits as its factorization.

40047757560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 40047757560000 in words is "forty trillion, forty-seven billion, seven hundred fifty-seven million, five hundred sixty thousand".