1377085416 has 192 divisors, whose sum is σ = 4186080000. Its totient is φ = 375943680.

The previous prime is 1377085403. The next prime is 1377085427. The reversal of 1377085416 is 6145807731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5081361 + ... + 5081631.

It is an arithmetic number, because the mean of its divisors is an integer number (21802500).

Almost surely, 2^1377085416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377085416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093040000).

1377085416 is an abundant number, since it is smaller than the sum of its proper divisors (2808994584).

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

1377085416 is a wasteful number, since it uses less digits than its factorization.

1377085416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 1377085416 is about 37109.1015250976. The cubic root of 1377085416 is about 1112.5519338799.

The spelling of 1377085416 in words is "one billion, three hundred seventy-seven million, eighty-five thousand, four hundred sixteen".