40404787903200 has 576 divisors, whose sum is σ = 159225863892480. Its totient is φ = 8687833251840.

The previous prime is 40404787903153. The next prime is 40404787903211. The reversal of 40404787903200 is 230978740404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40404787903200.

It is a congruent number.

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, 596584539 + ... + 596652261.

It is an arithmetic number, because the mean of its divisors is an integer number (276433791480).

Almost surely, 2^{40404787903200} is an apocalyptic number.

40404787903200 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 40404787903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79612931946240).

40404787903200 is an abundant number, since it is smaller than the sum of its proper divisors (118821075989280).

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

40404787903200 is a wasteful number, since it uses less digits than its factorization.

40404787903200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69859 (or 69846 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 40404787903200 in words is "forty trillion, four hundred four billion, seven hundred eighty-seven million, nine hundred three thousand, two hundred".