420251040000 has 1080 divisors, whose sum is σ = 1692924865632. Its totient is φ = 99348480000.

The previous prime is 420251039977. The next prime is 420251040007. The reversal of 420251040000 is 40152024.

It is a super-2 number, since 2×420251040000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (420251040007) 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, 681119692 + ... + 681120308.

Almost surely, 2^420251040000 is an apocalyptic number.

420251040000 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 420251040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846462432816).

420251040000 is an abundant number, since it is smaller than the sum of its proper divisors (1272673825632).

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

420251040000 is a wasteful number, since it uses less digits than its factorization.

420251040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 420251040000 its reverse (40152024), we get a palindrome (420291192024).

The spelling of 420251040000 in words is "four hundred twenty billion, two hundred fifty-one million, forty thousand".