1376968404 has 72 divisors (see below), whose sum is σ = 3743832960. Its totient is φ = 392751744.

The previous prime is 1376968381. The next prime is 1376968457. The reversal of 1376968404 is 4048696731.

1376968404 = T₂₅₉ + T₂₆₀ + ... + T₂₀₂₂.

It is a super-2 number, since 2×1376968404² = 3792083971228614432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421144 + ... + 424400.

It is an arithmetic number, because the mean of its divisors is an integer number (51997680).

Almost surely, 2^1376968404 is an apocalyptic number.

1376968404 is a gapful number since it is divisible by the number (14) 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 1376968404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871916480).

1376968404 is an abundant number, since it is smaller than the sum of its proper divisors (2366864556).

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

1376968404 is a wasteful number, since it uses less digits than its factorization.

1376968404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 1376968404 is about 37107.5248972496. The cubic root of 1376968404 is about 1112.5204215247.

The spelling of 1376968404 in words is "one billion, three hundred seventy-six million, nine hundred sixty-eight thousand, four hundred four".