415203100400 has 240 divisors, whose sum is σ = 1140104076288. Its totient is φ = 143928576000.

The previous prime is 415203100387. The next prime is 415203100427. The reversal of 415203100400 is 4001302514.

It is a super-2 number, since 2×415203100400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 9116084 + ... + 9161516.

Almost surely, 2^415203100400 is an apocalyptic number.

415203100400 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 415203100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570052038144).

415203100400 is an abundant number, since it is smaller than the sum of its proper divisors (724900975888).

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

415203100400 is a wasteful number, since it uses less digits than its factorization.

415203100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45560 (or 45549 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 415203100400 its reverse (4001302514), we get a palindrome (419204402914).

The spelling of 415203100400 in words is "four hundred fifteen billion, two hundred three million, one hundred thousand, four hundred".