421868145600 has 378 divisors, whose sum is σ = 1648128514760. Its totient is φ = 102270643200.

The previous prime is 421868145599. The next prime is 421868145623. The reversal of 421868145600 is 6541868124.

It is a happy number.

421868145600 is a `hidden beast` number, since 4 + 2 + 1 + 8 + 6 + 81 + 4 + 560 + 0 = 666.

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 53 ways as a sum of consecutive naturals, for example, 1621341 + ... + 1863459.

Almost surely, 2^421868145600 is an apocalyptic number.

421868145600 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 421868145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824064257380).

421868145600 is an abundant number, since it is smaller than the sum of its proper divisors (1226260369160).

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

421868145600 is a wasteful number, since it uses less digits than its factorization.

421868145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242169 (or 242140 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 421868145600 in words is "four hundred twenty-one billion, eight hundred sixty-eight million, one hundred forty-five thousand, six hundred".