420903463242240 has 640 divisors, whose sum is σ = 1631674663280640. Its totient is φ = 101995053465600.

The previous prime is 420903463242217. The next prime is 420903463242259. The reversal of 420903463242240 is 42242364309024.

420903463242240 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 0 + 3 + 4 + 632 + 4 + 2 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1860389925 + ... + 1860616155.

It is an arithmetic number, because the mean of its divisors is an integer number (2549491661376).

Almost surely, 2^{420903463242240} is an apocalyptic number.

420903463242240 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 420903463242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815837331640320).

420903463242240 is an abundant number, since it is smaller than the sum of its proper divisors (1210771200038400).

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

420903463242240 is a wasteful number, since it uses less digits than its factorization.

420903463242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228721 (or 228699 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 420903463242240 in words is "four hundred twenty trillion, nine hundred three billion, four hundred sixty-three million, two hundred forty-two thousand, two hundred forty".