420692976000 has 768 divisors, whose sum is σ = 1655054856000. Its totient is φ = 101560320000.

The previous prime is 420692975987. The next prime is 420692976071. The reversal of 420692976000 is 679296024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 552815620 + ... + 552816380.

Almost surely, 2^420692976000 is an apocalyptic number.

420692976000 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 420692976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827527428000).

420692976000 is an abundant number, since it is smaller than the sum of its proper divisors (1234361880000).

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

420692976000 is a wasteful number, since it uses less digits than its factorization.

420692976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 420692976000 in words is "four hundred twenty billion, six hundred ninety-two million, nine hundred seventy-six thousand".