1377806440 has 24 divisors (see below), whose sum is σ = 3100592790. Its totient is φ = 551028672.

The previous prime is 1377806431. The next prime is 1377806449. The reversal of 1377806440 is 446087731.

It is an interprime number because it is at equal distance from previous prime (1377806431) and next prime (1377806449).

It can be written as a sum of positive squares in 3 ways, for example, as 487261476 + 890544964 = 22074^2 + 29842^2 .

It is a super-2 number, since 2×1377806440² = 3796701172210947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1377806393 and 1377806402.

It is not an unprimeable number, because it can be changed into a prime (1377806449) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 231826 + ... + 237694.

Almost surely, 2^1377806440 is an apocalyptic number.

1377806440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1377806440 is an abundant number, since it is smaller than the sum of its proper divisors (1722786350).

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

1377806440 is an frugal number, since it uses more digits than its factorization.

1377806440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11749 (or 5876 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 1377806440 is about 37118.8151750564. The cubic root of 1377806440 is about 1112.7460725716.

Multiplying 1377806440 by its sum of digits (40), we get a square (55112257600 = 234760²).

1377806440 divided by its sum of digits (40) gives a square (34445161 = 5869²).

The spelling of 1377806440 in words is "one billion, three hundred seventy-seven million, eight hundred six thousand, four hundred forty".