104455780070400 has 2112 divisors, whose sum is σ = 445139178912000. Its totient is φ = 23722249420800.

The previous prime is 104455780070399. The next prime is 104455780070401. The reversal of 104455780070400 is 4070087554401.

104455780070400 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 5 + 578 + 0 + 0 + 70 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104455780070399) and next prime (104455780070401).

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×104455780070400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104455780070401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29599255836 + ... + 29599259364.

Almost surely, 2^{104455780070400} is an apocalyptic number.

104455780070400 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 104455780070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222569589456000).

104455780070400 is an abundant number, since it is smaller than the sum of its proper divisors (340683398841600).

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

104455780070400 is a wasteful number, since it uses less digits than its factorization.

104455780070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 104455780070400 in words is "one hundred four trillion, four hundred fifty-five billion, seven hundred eighty million, seventy thousand, four hundred".