1391540400 has 360 divisors, whose sum is σ = 5134722944. Its totient is φ = 348364800.

The previous prime is 1391540399. The next prime is 1391540417. The reversal of 1391540400 is 40451931.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4129032 + ... + 4129368.

Almost surely, 2^1391540400 is an apocalyptic number.

1391540400 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 1391540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567361472).

1391540400 is an abundant number, since it is smaller than the sum of its proper divisors (3743182544).

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

1391540400 is a wasteful number, since it uses less digits than its factorization.

1391540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1391540400 is about 37303.3564173520. The cubic root of 1391540400 is about 1116.4311356912.

The spelling of 1391540400 in words is "one billion, three hundred ninety-one million, five hundred forty thousand, four hundred".