40144896 has 195 divisors, whose sum is σ = 131817763. Its totient is φ = 12165120.

The previous prime is 40144883. The next prime is 40144901. The reversal of 40144896 is 69844104.

It is a happy number.

The square root of 40144896 is 6336.

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

It is a super-2 number, since 2×40144896² = 3223225349701632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40144896.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3649531 + ... + 3649541.

Almost surely, 2^40144896 is an apocalyptic number.

40144896 is the 6336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40144896

40144896 is an abundant number, since it is smaller than the sum of its proper divisors (91672867).

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

40144896 is an equidigital number, since it uses as much as digits as its factorization.

40144896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The cubic root of 40144896 is about 342.4076395070.

Multiplying 40144896 by its sum of digits (36), we get a square (1445216256 = 38016²).

40144896 divided by its sum of digits (36) gives a square (1115136 = 1056²).

The spelling of 40144896 in words is "forty million, one hundred forty-four thousand, eight hundred ninety-six".