10455312014400 has 336 divisors, whose sum is σ = 37426171446720. Its totient is φ = 2534237798400.

The previous prime is 10455312014383. The next prime is 10455312014401. The reversal of 10455312014400 is 441021355401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10455312014401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520439556 + ... + 520459644.

It is an arithmetic number, because the mean of its divisors is an integer number (111387415020).

Almost surely, 2^{10455312014400} is an apocalyptic number.

10455312014400 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 10455312014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18713085723360).

10455312014400 is an abundant number, since it is smaller than the sum of its proper divisors (26970859432320).

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

10455312014400 is a wasteful number, since it uses less digits than its factorization.

10455312014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29982 (or 29967 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 10455312014400 its reverse (441021355401), we get a palindrome (10896333369801).

The spelling of 10455312014400 in words is "ten trillion, four hundred fifty-five billion, three hundred twelve million, fourteen thousand, four hundred".