420208646648400 has 960 divisors, whose sum is σ = 1605888110154240. Its totient is φ = 103981518028800.

The previous prime is 420208646648363. The next prime is 420208646648431. The reversal of 420208646648400 is 4846646802024.

420208646648400 is a `hidden beast` number, since 4 + 2 + 0 + 20 + 86 + 4 + 66 + 484 + 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 191 ways as a sum of consecutive naturals, for example, 61425028980 + ... + 61425035820.

It is an arithmetic number, because the mean of its divisors is an integer number (1672800114744).

Almost surely, 2^{420208646648400} is an apocalyptic number.

420208646648400 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 420208646648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802944055077120).

420208646648400 is an abundant number, since it is smaller than the sum of its proper divisors (1185679463505840).

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

420208646648400 is a wasteful number, since it uses less digits than its factorization.

420208646648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11541 (or 11524 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 420208646648400 in words is "four hundred twenty trillion, two hundred eight billion, six hundred forty-six million, six hundred forty-eight thousand, four hundred".