40404298989600 has 2592 divisors, whose sum is σ = 184063664702736. Its totient is φ = 8260426137600.

The previous prime is 40404298989557. The next prime is 40404298989601. The reversal of 40404298989600 is 698989240404.

40404298989600 is a `hidden beast` number, since 4 + 0 + 40 + 429 + 89 + 8 + 96 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 9478190736 + 40394820798864 = 97356^2 + 6355692^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40404298989601) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 77551437340 + ... + 77551437860.

Almost surely, 2^{40404298989600} is an apocalyptic number.

40404298989600 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 40404298989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92031832351368).

40404298989600 is an abundant number, since it is smaller than the sum of its proper divisors (143659365713136).

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

40404298989600 is a wasteful number, since it uses less digits than its factorization.

40404298989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 40404298989600 in words is "forty trillion, four hundred four billion, two hundred ninety-eight million, nine hundred eighty-nine thousand, six hundred".