40475783877120 has 1280 divisors, whose sum is σ = 154956903552000. Its totient is φ = 10102849929216.

The previous prime is 40475783877091. The next prime is 40475783877127. The reversal of 40475783877120 is 2177838757404.

40475783877120 is a `hidden beast` number, since 4 + 0 + 4 + 7 + 578 + 38 + 7 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-4 number, since 4×40475783877120⁴ (a number of 56 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (40475783877127) 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, 18940468692 + ... + 18940470828.

It is an arithmetic number, because the mean of its divisors is an integer number (121060080900).

Almost surely, 2^{40475783877120} is an apocalyptic number.

40475783877120 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 40475783877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77478451776000).

40475783877120 is an abundant number, since it is smaller than the sum of its proper divisors (114481119674880).

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

40475783877120 is an equidigital number, since it uses as much as digits as its factorization.

40475783877120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 73758720, while the sum is 63.

The spelling of 40475783877120 in words is "forty trillion, four hundred seventy-five billion, seven hundred eighty-three million, eight hundred seventy-seven thousand, one hundred twenty".