1376403840 has 320 divisors, whose sum is σ = 5619065760. Its totient is φ = 314523648.

The previous prime is 1376403839. The next prime is 1376403863. The reversal of 1376403840 is 483046731.

1376403840 is a `hidden beast` number, since 1 + 3 + 7 + 640 + 3 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 1376403795 and 1376403804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 360984 + ... + 364776.

Almost surely, 2^1376403840 is an apocalyptic number.

1376403840 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 1376403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809532880).

1376403840 is an abundant number, since it is smaller than the sum of its proper divisors (4242661920).

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

1376403840 is an equidigital number, since it uses as much as digits as its factorization.

1376403840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3831 (or 3810 counting only the distinct ones).

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

The square root of 1376403840 is about 37099.9169810392. The cubic root of 1376403840 is about 1112.3683544095.

The spelling of 1376403840 in words is "one billion, three hundred seventy-six million, four hundred three thousand, eight hundred forty".