40156054440480 has 1152 divisors, whose sum is σ = 159516895539456. Its totient is φ = 9091075276800.

The previous prime is 40156054440421. The next prime is 40156054440487. The reversal of 40156054440480 is 8404445065104.

40156054440480 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 60 + 544 + 4 + 0 + 48 + 0 = 666.

It is a super-2 number, since 2×40156054440480² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40156054440487) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21577674750 + ... + 21577676610.

It is an arithmetic number, because the mean of its divisors is an integer number (138469527378).

Almost surely, 2^{40156054440480} is an apocalyptic number.

40156054440480 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 40156054440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79758447769728).

40156054440480 is an abundant number, since it is smaller than the sum of its proper divisors (119360841098976).

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

40156054440480 is a wasteful number, since it uses less digits than its factorization.

40156054440480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 40156054440480 in words is "forty trillion, one hundred fifty-six billion, fifty-four million, four hundred forty thousand, four hundred eighty".