40472369280 has 1152 divisors, whose sum is σ = 173705575680. Its totient is φ = 8973877248.

The previous prime is 40472369257. The next prime is 40472369291. The reversal of 40472369280 is 8296327404.

40472369280 is a `hidden beast` number, since 4 + 0 + 4 + 7 + 2 + 369 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 358162504 + ... + 358162616.

It is an arithmetic number, because the mean of its divisors is an integer number (150786090).

Almost surely, 2^40472369280 is an apocalyptic number.

40472369280 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 40472369280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86852787840).

40472369280 is an abundant number, since it is smaller than the sum of its proper divisors (133233206400).

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

40472369280 is a wasteful number, since it uses less digits than its factorization.

40472369280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 40472369280 in words is "forty billion, four hundred seventy-two million, three hundred sixty-nine thousand, two hundred eighty".