42815629440 has 96 divisors (see below), whose sum is σ = 147847740300. Its totient is φ = 11417499648.

The previous prime is 42815629403. The next prime is 42815629457. The reversal of 42815629440 is 4492651824.

It is a happy number.

42815629440 is a `hidden beast` number, since 4 + 2 + 8 + 15 + 629 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40729697856 + 2085931584 = 201816^2 + 45672^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 3710875 + ... + 3722394.

Almost surely, 2^42815629440 is an apocalyptic number.

42815629440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42815629440 is an abundant number, since it is smaller than the sum of its proper divisors (105032110860).

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

42815629440 is a wasteful number, since it uses less digits than its factorization.

42815629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7433294 (or 7433279 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 42815629440 in words is "forty-two billion, eight hundred fifteen million, six hundred twenty-nine thousand, four hundred forty".