414990610400 has 36 divisors (see below), whose sum is σ = 1013095829592. Its totient is φ = 165996243840.

The previous prime is 414990610357. The next prime is 414990610451. The reversal of 414990610400 is 4016099414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 259368332 + ... + 259369931.

It is an arithmetic number, because the mean of its divisors is an integer number (28141550822).

Almost surely, 2^414990610400 is an apocalyptic number.

414990610400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414990610400 is an abundant number, since it is smaller than the sum of its proper divisors (598105219192).

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

414990610400 is a wasteful number, since it uses less digits than its factorization.

414990610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518738283 (or 518738270 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 414990610400 in words is "four hundred fourteen billion, nine hundred ninety million, six hundred ten thousand, four hundred".