1024415140 has 48 divisors (see below), whose sum is σ = 2543385600. Its totient is φ = 339115392.

The previous prime is 1024415131. The next prime is 1024415159. The reversal of 1024415140 is 415144201.

It is a super-2 number, since 2×1024415140² = 2098852758122439200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122100 + ... + 130219.

It is an arithmetic number, because the mean of its divisors is an integer number (52987200).

Almost surely, 2^1024415140 is an apocalyptic number.

1024415140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024415140 is an abundant number, since it is smaller than the sum of its proper divisors (1518970460).

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

1024415140 is a wasteful number, since it uses less digits than its factorization.

1024415140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252364 (or 252362 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1024415140 is about 32006.4859052037. The cubic root of 1024415140 is about 1008.0730307904.

Adding to 1024415140 its reverse (415144201), we get a palindrome (1439559341).

The spelling of 1024415140 in words is "one billion, twenty-four million, four hundred fifteen thousand, one hundred forty".