1337322157440 has 256 divisors, whose sum is σ = 4345219779840. Its totient is φ = 349783040000.

The previous prime is 1337322157429. The next prime is 1337322157447. The reversal of 1337322157440 is 447512237331.

It is a happy number.

It is a super-2 number, since 2×1337322157440² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1337322157392 and 1337322157401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337322157447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20717215 + ... + 20781665.

It is an arithmetic number, because the mean of its divisors is an integer number (16973514765).

Almost surely, 2^{1337322157440} is an apocalyptic number.

1337322157440 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 1337322157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172609889920).

1337322157440 is an abundant number, since it is smaller than the sum of its proper divisors (3007897622400).

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

1337322157440 is a wasteful number, since it uses less digits than its factorization.

1337322157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64681 (or 64669 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 1337322157440 in words is "one trillion, three hundred thirty-seven billion, three hundred twenty-two million, one hundred fifty-seven thousand, four hundred forty".