10456201440 has 96 divisors (see below), whose sum is σ = 36596720160. Its totient is φ = 2788319232.

The previous prime is 10456201439. The next prime is 10456201471. The reversal of 10456201440 is 4410265401.

10456201440 is a `hidden beast` number, since 1 + 0 + 456 + 201 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1205889 + ... + 1214528.

It is an arithmetic number, because the mean of its divisors is an integer number (381215835).

Almost surely, 2^10456201440 is an apocalyptic number.

10456201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10456201440 is an abundant number, since it is smaller than the sum of its proper divisors (26140518720).

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

10456201440 is a wasteful number, since it uses less digits than its factorization.

10456201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420441 (or 2420427 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10456201440 its reverse (4410265401), we get a palindrome (14866466841).

The spelling of 10456201440 in words is "ten billion, four hundred fifty-six million, two hundred one thousand, four hundred forty".