1140312314400 has 288 divisors, whose sum is σ = 4465224207360. Its totient is φ = 246924702720.

The previous prime is 1140312314399. The next prime is 1140312314413. The reversal of 1140312314400 is 44132130411.

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

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, 1467004 + ... + 2105403.

It is an arithmetic number, because the mean of its divisors is an integer number (15504250720).

Almost surely, 2^{1140312314400} is an apocalyptic number.

1140312314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140312314400 is an abundant number, since it is smaller than the sum of its proper divisors (3324911892960).

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

1140312314400 is a wasteful number, since it uses less digits than its factorization.

1140312314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572456 (or 3572443 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1140312314400 its reverse (44132130411), we get a palindrome (1184444444811).

The spelling of 1140312314400 in words is "one trillion, one hundred forty billion, three hundred twelve million, three hundred fourteen thousand, four hundred".