420902709120 has 384 divisors, whose sum is σ = 1468924554240. Its totient is φ = 111049408512.

The previous prime is 420902709103. The next prime is 420902709133. The reversal of 420902709120 is 21907209024.

420902709120 is a `hidden beast` number, since 420 + 90 + 27 + 0 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407456124 + ... + 407457156.

It is an arithmetic number, because the mean of its divisors is an integer number (3825324360).

Almost surely, 2^420902709120 is an apocalyptic number.

420902709120 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 420902709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734462277120).

420902709120 is an abundant number, since it is smaller than the sum of its proper divisors (1048021845120).

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

420902709120 is a wasteful number, since it uses less digits than its factorization.

420902709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 420902709120 in words is "four hundred twenty billion, nine hundred two million, seven hundred nine thousand, one hundred twenty".