415311105400 has 384 divisors, whose sum is σ = 1050039936000. Its totient is φ = 152459274240.

The previous prime is 415311105379. The next prime is 415311105413. The reversal of 415311105400 is 4501113514.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2108178102 + ... + 2108178298.

It is an arithmetic number, because the mean of its divisors is an integer number (2734479000).

Almost surely, 2^415311105400 is an apocalyptic number.

415311105400 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 415311105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525019968000).

415311105400 is an abundant number, since it is smaller than the sum of its proper divisors (634728830600).

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

415311105400 is a wasteful number, since it uses less digits than its factorization.

415311105400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 415311105400 its reverse (4501113514), we get a palindrome (419812218914).

The spelling of 415311105400 in words is "four hundred fifteen billion, three hundred eleven million, one hundred five thousand, four hundred".