1337277504420 has 960 divisors, whose sum is σ = 5063315152896. Its totient is φ = 291145466880.

The previous prime is 1337277504389. The next prime is 1337277504449. The reversal of 1337277504420 is 244057727331.

1337277504420 is a `hidden beast` number, since 1 + 3 + 3 + 72 + 77 + 504 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×1337277504420² (a number of 25 digits) contains 22 as substring.

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 319 ways as a sum of consecutive naturals, for example, 2863549027 + ... + 2863549493.

Almost surely, 2^{1337277504420} is an apocalyptic number.

1337277504420 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 1337277504420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531657576448).

1337277504420 is an abundant number, since it is smaller than the sum of its proper divisors (3726037648476).

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

1337277504420 is a wasteful number, since it uses less digits than its factorization.

1337277504420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 1337277504420 in words is "one trillion, three hundred thirty-seven billion, two hundred seventy-seven million, five hundred four thousand, four hundred twenty".