1371813408 has 240 divisors, whose sum is σ = 4707964800. Its totient is φ = 391692672.

The previous prime is 1371813389. The next prime is 1371813439. The reversal of 1371813408 is 8043181731.

1371813408 is a `hidden beast` number, since 137 + 181 + 340 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 888285 + ... + 889827.

It is an arithmetic number, because the mean of its divisors is an integer number (19616520).

Almost surely, 2^1371813408 is an apocalyptic number.

1371813408 is a gapful number since it is divisible by the number (18) 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 1371813408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353982400).

1371813408 is an abundant number, since it is smaller than the sum of its proper divisors (3336151392).

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

1371813408 is an equidigital number, since it uses as much as digits as its factorization.

1371813408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1371813408 is about 37037.9995140126. Note that the first 3 decimals coincide. The cubic root of 1371813408 is about 1111.1303605673.

Adding to 1371813408 its sum of digits (36), we get a square (1371813444 = 37038²).

The spelling of 1371813408 in words is "one billion, three hundred seventy-one million, eight hundred thirteen thousand, four hundred eight".