415045553400 has 144 divisors (see below), whose sum is σ = 1394414948160. Its totient is φ = 110634854400.

The previous prime is 415045553383. The next prime is 415045553401. The reversal of 415045553400 is 4355540514.

415045553400 is a `hidden beast` number, since 4 + 150 + 4 + 55 + 53 + 400 = 666.

It is a super-2 number, since 2×415045553400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415045553401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4619304 + ... + 4708296.

It is an arithmetic number, because the mean of its divisors is an integer number (9683437140).

Almost surely, 2^415045553400 is an apocalyptic number.

415045553400 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 415045553400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697207474080).

415045553400 is an abundant number, since it is smaller than the sum of its proper divisors (979369394760).

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

415045553400 is a wasteful number, since it uses less digits than its factorization.

415045553400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91606 (or 91594 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 415045553400 in words is "four hundred fifteen billion, forty-five million, five hundred fifty-three thousand, four hundred".