414140120400 has 60 divisors (see below), whose sum is σ = 1326628856192. Its totient is φ = 110437365120.

The previous prime is 414140120371. The next prime is 414140120437. The reversal of 414140120400 is 4021041414.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172557184 + ... + 172559583.

Almost surely, 2^414140120400 is an apocalyptic number.

414140120400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414140120400 is an abundant number, since it is smaller than the sum of its proper divisors (912488735792).

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

414140120400 is a wasteful number, since it uses less digits than its factorization.

414140120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345116788 (or 345116777 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 414140120400 its reverse (4021041414), we get a palindrome (418161161814).

The spelling of 414140120400 in words is "four hundred fourteen billion, one hundred forty million, one hundred twenty thousand, four hundred".