1013960400 has 240 divisors, whose sum is σ = 3399449088. Its totient is φ = 258048000.

The previous prime is 1013960399. The next prime is 1013960411. The reversal of 1013960400 is 40693101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3608260 + ... + 3608540.

Almost surely, 2^1013960400 is an apocalyptic number.

1013960400 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 1013960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699724544).

1013960400 is an abundant number, since it is smaller than the sum of its proper divisors (2385488688).

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

1013960400 is a wasteful number, since it uses less digits than its factorization.

1013960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1013960400 is about 31842.7448565603. The cubic root of 1013960400 is about 1004.6319783168.

The spelling of 1013960400 in words is "one billion, thirteen million, nine hundred sixty thousand, four hundred".