1337783040 has 864 divisors, whose sum is σ = 5785468416. Its totient is φ = 291962880.

The previous prime is 1337783039. The next prime is 1337783053. The reversal of 1337783040 is 403877331.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1337783040² = 3579326924223283200, which contains 22 as substring.

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 = 1337782986 and 1337783004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58164469 + ... + 58164491.

It is an arithmetic number, because the mean of its divisors is an integer number (6696144).

Almost surely, 2^1337783040 is an apocalyptic number.

1337783040 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 1337783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892734208).

1337783040 is an abundant number, since it is smaller than the sum of its proper divisors (4447685376).

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

1337783040 is a wasteful number, since it uses less digits than its factorization.

1337783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1337783040 is about 36575.7165343346. The cubic root of 1337783040 is about 1101.8654407549.

The spelling of 1337783040 in words is "one billion, three hundred thirty-seven million, seven hundred eighty-three thousand, forty".