1370809440 has 768 divisors, whose sum is σ = 6462167040. Its totient is φ = 262103040.

The previous prime is 1370809369. The next prime is 1370809459. The reversal of 1370809440 is 449080731.

It is a happy number.

1370809440 is a `hidden beast` number, since 137 + 0 + 80 + 9 + 440 = 666.

It is a super-2 number, since 2×1370809440² = 3758237041586227200, which contains 22 as substring.

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 = 1370809395 and 1370809404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4324162 + ... + 4324478.

It is an arithmetic number, because the mean of its divisors is an integer number (8414280).

Almost surely, 2^1370809440 is an apocalyptic number.

1370809440 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 1370809440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231083520).

1370809440 is an abundant number, since it is smaller than the sum of its proper divisors (5091357600).

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

1370809440 is a wasteful number, since it uses less digits than its factorization.

1370809440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1370809440 is about 37024.4438175646. The cubic root of 1370809440 is about 1110.8592324465.

The spelling of 1370809440 in words is "one billion, three hundred seventy million, eight hundred nine thousand, four hundred forty".