40406557372272 has 560 divisors, whose sum is σ = 152963074111680. Its totient is φ = 10029806788608.

The previous prime is 40406557372231. The next prime is 40406557372303. The reversal of 40406557372272 is 27227375560404.

40406557372272 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 65 + 573 + 7 + 2 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16924554 + ... + 19163862.

It is an arithmetic number, because the mean of its divisors is an integer number (273148346628).

Almost surely, 2^{40406557372272} is an apocalyptic number.

40406557372272 is a gapful number since it is divisible by the number (42) 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 40406557372272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76481537055840).

40406557372272 is an abundant number, since it is smaller than the sum of its proper divisors (112556516739408).

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

40406557372272 is a wasteful number, since it uses less digits than its factorization.

40406557372272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239372 (or 2239351 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 54.

The spelling of 40406557372272 in words is "forty trillion, four hundred six billion, five hundred fifty-seven million, three hundred seventy-two thousand, two hundred seventy-two".