421284551688000 has 13440 divisors, whose sum is σ = 2283120404877312. Its totient is φ = 75246796800000.

The previous prime is 421284551687983. The next prime is 421284551688043. The reversal of 421284551688000 is 886155482124.

It is a happy number.

421284551688000 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 8 + 4 + 551 + 6 + 8 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1919 ways as a sum of consecutive naturals, for example, 5771021255964 + ... + 5771021256036.

Almost surely, 2^{421284551688000} is an apocalyptic number.

421284551688000 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 421284551688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141560202438656).

421284551688000 is an abundant number, since it is smaller than the sum of its proper divisors (1861835853189312).

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

421284551688000 is a wasteful number, since it uses less digits than its factorization.

421284551688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 421284551688000 in words is "four hundred twenty-one trillion, two hundred eighty-four billion, five hundred fifty-one million, six hundred eighty-eight thousand".