40236902798400 has 5040 divisors, whose sum is σ = 205327298068992. Its totient is φ = 7608287232000.

The previous prime is 40236902798399. The next prime is 40236902798471. The reversal of 40236902798400 is 489720963204.

40236902798400 is a `hidden beast` number, since 4 + 0 + 2 + 369 + 0 + 279 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 36813268254 + ... + 36813269346.

Almost surely, 2^{40236902798400} is an apocalyptic number.

40236902798400 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 40236902798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102663649034496).

40236902798400 is an abundant number, since it is smaller than the sum of its proper divisors (165090395270592).

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

40236902798400 is a wasteful number, since it uses less digits than its factorization.

40236902798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 40236902798400 in words is "forty trillion, two hundred thirty-six billion, nine hundred two million, seven hundred ninety-eight thousand, four hundred".