40019360772480 has 256 divisors, whose sum is σ = 142174047052800. Its totient is φ = 9515439194112.

The previous prime is 40019360772449. The next prime is 40019360772487. The reversal of 40019360772480 is 8427706391004.

It is a super-2 number, since 2×40019360772480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40019360772487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31645192 + ... + 32885511.

It is an arithmetic number, because the mean of its divisors is an integer number (555367371300).

Almost surely, 2^{40019360772480} is an apocalyptic number.

40019360772480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40019360772480 is an abundant number, since it is smaller than the sum of its proper divisors (102154686280320).

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

40019360772480 is a wasteful number, since it uses less digits than its factorization.

40019360772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64530761 (or 64530749 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 40019360772480 in words is "forty trillion, nineteen billion, three hundred sixty million, seven hundred seventy-two thousand, four hundred eighty".