1337495040 has 240 divisors, whose sum is σ = 5294491488. Its totient is φ = 305676288.

The previous prime is 1337495021. The next prime is 1337495059. The reversal of 1337495040 is 405947331.

It is an interprime number because it is at equal distance from previous prime (1337495021) and next prime (1337495059).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 1337494986 and 1337495004.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 157134 + ... + 165426.

Almost surely, 2^1337495040 is an apocalyptic number.

1337495040 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 1337495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647245744).

1337495040 is an abundant number, since it is smaller than the sum of its proper divisors (3956996448).

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

1337495040 is an equidigital number, since it uses as much as digits as its factorization.

1337495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8329 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1337495040 is about 36571.7792840327. The cubic root of 1337495040 is about 1101.7863646485.

The spelling of 1337495040 in words is "one billion, three hundred thirty-seven million, four hundred ninety-five thousand, forty".