420785943552 has 1320 divisors, whose sum is σ = 1521979151616. Its totient is φ = 114829000704.

The previous prime is 420785943551. The next prime is 420785943577. The reversal of 420785943552 is 255349587024.

420785943552 is a `hidden beast` number, since 4 + 2 + 0 + 7 + 85 + 9 + 4 + 3 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420785943551) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8952892393 + ... + 8952892439.

Almost surely, 2^420785943552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420785943552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760989575808).

420785943552 is an abundant number, since it is smaller than the sum of its proper divisors (1101193208064).

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

420785943552 is a wasteful number, since it uses less digits than its factorization.

420785943552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 420785943552 in words is "four hundred twenty billion, seven hundred eighty-five million, nine hundred forty-three thousand, five hundred fifty-two".