10455977840 has 480 divisors, whose sum is σ = 33556602240. Its totient is φ = 2952069120.

The previous prime is 10455977759. The next prime is 10455977863. The reversal of 10455977840 is 4877955401.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 33405524 + ... + 33405836.

It is an arithmetic number, because the mean of its divisors is an integer number (69909588).

Almost surely, 2^10455977840 is an apocalyptic number.

10455977840 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 10455977840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16778301120).

10455977840 is an abundant number, since it is smaller than the sum of its proper divisors (23100624400).

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

10455977840 is a wasteful number, since it uses less digits than its factorization.

10455977840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 50.

The spelling of 10455977840 in words is "ten billion, four hundred fifty-five million, nine hundred seventy-seven thousand, eight hundred forty".