421990133760 has 1872 divisors, whose sum is σ = 1795865610240. Its totient is φ = 91092418560.

The previous prime is 421990133759. The next prime is 421990133771. The reversal of 421990133760 is 67331099124.

421990133760 is a `hidden beast` number, since 421 + 9 + 90 + 133 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

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 143 ways as a sum of consecutive naturals, for example, 13612584945 + ... + 13612584975.

It is an arithmetic number, because the mean of its divisors is an integer number (959329920).

Almost surely, 2^421990133760 is an apocalyptic number.

421990133760 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 421990133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897932805120).

421990133760 is an abundant number, since it is smaller than the sum of its proper divisors (1373875476480).

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

421990133760 is a wasteful number, since it uses less digits than its factorization.

421990133760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 421990133760 in words is "four hundred twenty-one billion, nine hundred ninety million, one hundred thirty-three thousand, seven hundred sixty".