40390027505280 has 768 divisors, whose sum is σ = 149334827765760. Its totient is φ = 10425025658880.

The previous prime is 40390027505227. The next prime is 40390027505323. The reversal of 40390027505280 is 8250572009304.

40390027505280 is a `hidden beast` number, since 40 + 3 + 9 + 0 + 0 + 27 + 505 + 2 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 809767702 + ... + 809817578.

It is an arithmetic number, because the mean of its divisors is an integer number (194446390320).

Almost surely, 2^{40390027505280} is an apocalyptic number.

40390027505280 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 40390027505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74667413882880).

40390027505280 is an abundant number, since it is smaller than the sum of its proper divisors (108944800260480).

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

40390027505280 is a wasteful number, since it uses less digits than its factorization.

40390027505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50079 (or 50055 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 40390027505280 in words is "forty trillion, three hundred ninety billion, twenty-seven million, five hundred five thousand, two hundred eighty".