420077214480 has 640 divisors, whose sum is σ = 1644066201600. Its totient is φ = 86194667520.

The previous prime is 420077214451. The next prime is 420077214569. The reversal of 420077214480 is 84412770024.

It is a happy number.

It is a super-2 number, since 2×420077214480² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 701297221 + ... + 701297819.

It is an arithmetic number, because the mean of its divisors is an integer number (2568853440).

Almost surely, 2^420077214480 is an apocalyptic number.

420077214480 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 420077214480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822033100800).

420077214480 is an abundant number, since it is smaller than the sum of its proper divisors (1223988987120).

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

420077214480 is a wasteful number, since it uses less digits than its factorization.

420077214480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The spelling of 420077214480 in words is "four hundred twenty billion, seventy-seven million, two hundred fourteen thousand, four hundred eighty".