420477651984 has 160 divisors (see below), whose sum is σ = 1242259240320. Its totient is φ = 121483321344.

The previous prime is 420477651983. The next prime is 420477652009. The reversal of 420477651984 is 489156774024.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (420477651983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182802 + ... + 1496654.

It is an arithmetic number, because the mean of its divisors is an integer number (7764120252).

Almost surely, 2^420477651984 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 420477651984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621129620160).

420477651984 is an abundant number, since it is smaller than the sum of its proper divisors (821781588336).

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

420477651984 is a wasteful number, since it uses less digits than its factorization.

420477651984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314009 (or 314003 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 420477651984 in words is "four hundred twenty billion, four hundred seventy-seven million, six hundred fifty-one thousand, nine hundred eighty-four".