1137415440 has 320 divisors, whose sum is σ = 4224729600. Its totient is φ = 252887040.

The previous prime is 1137415427. The next prime is 1137415453. The reversal of 1137415440 is 445147311.

It is an interprime number because it is at equal distance from previous prime (1137415427) and next prime (1137415453).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1137415398 and 1137415407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3374952 + ... + 3375288.

It is an arithmetic number, because the mean of its divisors is an integer number (13202280).

Almost surely, 2^1137415440 is an apocalyptic number.

1137415440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112364800).

1137415440 is an abundant number, since it is smaller than the sum of its proper divisors (3087314160).

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

1137415440 is a wasteful number, since it uses less digits than its factorization.

1137415440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1137415440 is about 33725.5902839372. The cubic root of 1137415440 is about 1043.8538718861.

The spelling of 1137415440 in words is "one billion, one hundred thirty-seven million, four hundred fifteen thousand, four hundred forty".