421298743680 has 576 divisors, whose sum is σ = 1552057116480. Its totient is φ = 105283584000.

The previous prime is 421298743669. The next prime is 421298743727. The reversal of 421298743680 is 86347892124.

421298743680 is a `hidden beast` number, since 4 + 2 + 129 + 8 + 7 + 436 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 560983305 + ... + 560984055.

It is an arithmetic number, because the mean of its divisors is an integer number (2694543605).

Almost surely, 2^421298743680 is an apocalyptic number.

421298743680 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 421298743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776028558240).

421298743680 is an abundant number, since it is smaller than the sum of its proper divisors (1130758372800).

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

421298743680 is a wasteful number, since it uses less digits than its factorization.

421298743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 421298743680 in words is "four hundred twenty-one billion, two hundred ninety-eight million, seven hundred forty-three thousand, six hundred eighty".