1337042122416 has 1600 divisors, whose sum is σ = 5475349555200. Its totient is φ = 303595776000.

The previous prime is 1337042122373. The next prime is 1337042122433. The reversal of 1337042122416 is 6142212407331.

1337042122416 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 0 + 421 + 224 + 1 + 6 = 666.

It is a super-2 number, since 2×1337042122416² (a number of 25 digits) contains 22 as substring.

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

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, 13238040766 + ... + 13238040866.

It is an arithmetic number, because the mean of its divisors is an integer number (3422093472).

Almost surely, 2^{1337042122416} is an apocalyptic number.

1337042122416 is a gapful number since it is divisible by the number (16) 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 1337042122416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737674777600).

1337042122416 is an abundant number, since it is smaller than the sum of its proper divisors (4138307432784).

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

1337042122416 is a wasteful number, since it uses less digits than its factorization.

1337042122416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 1337042122416 its reverse (6142212407331), we get a palindrome (7479254529747).

The spelling of 1337042122416 in words is "one trillion, three hundred thirty-seven billion, forty-two million, one hundred twenty-two thousand, four hundred sixteen".