415415053553400 has 192 divisors, whose sum is σ = 1431150880838400. Its totient is φ = 110755917360000.

The previous prime is 415415053553359. The next prime is 415415053553441. The reversal of 415415053553400 is 4355350514514.

It is a happy number.

415415053553400 is a `hidden beast` number, since 4 + 1 + 5 + 4 + 1 + 5 + 0 + 53 + 553 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (415415053553359) and next prime (415415053553441).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20484925 + ... + 35361875.

It is an arithmetic number, because the mean of its divisors is an integer number (7453910837700).

Almost surely, 2^{415415053553400} is an apocalyptic number.

415415053553400 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 415415053553400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715575440419200).

415415053553400 is an abundant number, since it is smaller than the sum of its proper divisors (1015735827285000).

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

415415053553400 is a wasteful number, since it uses less digits than its factorization.

415415053553400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14882147 (or 14882132 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 415415053553400 in words is "four hundred fifteen trillion, four hundred fifteen billion, fifty-three million, five hundred fifty-three thousand, four hundred".