40401763200 has 768 divisors, whose sum is σ = 156814963200. Its totient is φ = 10264320000.

The previous prime is 40401763189. The next prime is 40401763217. The reversal of 40401763200 is 236710404.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 160963075 + ... + 160963325.

It is an arithmetic number, because the mean of its divisors is an integer number (204186150).

Almost surely, 2^40401763200 is an apocalyptic number.

40401763200 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 40401763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78407481600).

40401763200 is an abundant number, since it is smaller than the sum of its proper divisors (116413200000).

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

40401763200 is an equidigital number, since it uses as much as digits as its factorization.

40401763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 40401763200 in words is "forty billion, four hundred one million, seven hundred sixty-three thousand, two hundred".