455409077760000 has 4160 divisors, whose sum is σ = 2197597123814400. Its totient is φ = 90412941312000.

The previous prime is 455409077759981. The next prime is 455409077760029. The reversal of 455409077760000 is 67770904554.

455409077760000 is a `hidden beast` number, since 4 + 5 + 540 + 90 + 7 + 7 + 7 + 6 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 106928637871 + ... + 106928642129.

Almost surely, 2^{455409077760000} is an apocalyptic number.

455409077760000 is a gapful number since it is divisible by the number (40) 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 455409077760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098798561907200).

455409077760000 is an abundant number, since it is smaller than the sum of its proper divisors (1742188046054400).

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

455409077760000 is a wasteful number, since it uses less digits than its factorization.

455409077760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 455409077760000 in words is "four hundred fifty-five trillion, four hundred nine billion, seventy-seven million, seven hundred sixty thousand".