420952392210000 has 400 divisors, whose sum is σ = 1553221160927744. Its totient is φ = 96205081536000.

The previous prime is 420952392209903. The next prime is 420952392210083. The reversal of 420952392210000 is 12293259024.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1651942599 + ... + 1652197401.

Almost surely, 2^{420952392210000} is an apocalyptic number.

420952392210000 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 420952392210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776610580463872).

420952392210000 is an abundant number, since it is smaller than the sum of its proper divisors (1132268768717744).

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

420952392210000 is a wasteful number, since it uses less digits than its factorization.

420952392210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262708 (or 262687 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 420952392210000 in words is "four hundred twenty trillion, nine hundred fifty-two billion, three hundred ninety-two million, two hundred ten thousand".