40152448 has 64 divisors (see below), whose sum is σ = 93733920. Its totient is φ = 16773120.

The previous prime is 40152421. The next prime is 40152493. The reversal of 40152448 is 84425104.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×40152448² = 3224438160785408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36190 + ... + 37282.

Almost surely, 2^40152448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40152448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46866960).

40152448 is an abundant number, since it is smaller than the sum of its proper divisors (53581472).

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

40152448 is a wasteful number, since it uses less digits than its factorization.

40152448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 40152448 is about 6336.5959315708. The cubic root of 40152448 is about 342.4291092380.

The spelling of 40152448 in words is "forty million, one hundred fifty-two thousand, four hundred forty-eight".