455116040400 has 120 divisors (see below), whose sum is σ = 1666158182464. Its totient is φ = 104026521600.

The previous prime is 455116040303. The next prime is 455116040437. The reversal of 455116040400 is 4040611554.

455116040400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×455116040400² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27081841 + ... + 27098640.

Almost surely, 2^455116040400 is an apocalyptic number.

455116040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455116040400 is an abundant number, since it is smaller than the sum of its proper divisors (1211042142064).

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

455116040400 is a wasteful number, since it uses less digits than its factorization.

455116040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54180509 (or 54180498 counting only the distinct ones).

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

Adding to 455116040400 its reverse (4040611554), we get a palindrome (459156651954).

The spelling of 455116040400 in words is "four hundred fifty-five billion, one hundred sixteen million, forty thousand, four hundred".