40402295438400 has 2835 divisors, whose sum is σ = 178928106603701. Its totient is φ = 8645354403840.

The previous prime is 40402295438369. The next prime is 40402295438411. The reversal of 40402295438400 is 483459220404.

The square root of 40402295438400 is 6356280.

It is a perfect power (a square), and thus also a powerful number.

40402295438400 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 2 + 29 + 543 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14544826357824 + 25857469080576 = 3813768^2 + 5085024^2 .

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 404 ways as a sum of consecutive naturals, for example, 859623307177 + ... + 859623307223.

Almost surely, 2^{40402295438400} is an apocalyptic number.

40402295438400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40402295438400 is the 6356280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40402295438400

40402295438400 is an abundant number, since it is smaller than the sum of its proper divisors (138525811165301).

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

40402295438400 is an equidigital number, since it uses as much as digits as its factorization.

40402295438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 40402295438400 in words is "forty trillion, four hundred two billion, two hundred ninety-five million, four hundred thirty-eight thousand, four hundred".