420251553205440 has 896 divisors, whose sum is σ = 1566661783689216. Its totient is φ = 94310006784000.

The previous prime is 420251553205439. The next prime is 420251553205441. The reversal of 420251553205440 is 44502355152024.

It is an interprime number because it is at equal distance from previous prime (420251553205439) and next prime (420251553205441).

It is a super-2 number, since 2×420251553205440² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420251553205392 and 420251553205401.

It is not an unprimeable number, because it can be changed into a prime (420251553205441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5365993162 + ... + 5366071478.

Almost surely, 2^{420251553205440} is an apocalyptic number.

420251553205440 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 420251553205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783330891844608).

420251553205440 is an abundant number, since it is smaller than the sum of its proper divisors (1146410230483776).

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

420251553205440 is a wasteful number, since it uses less digits than its factorization.

420251553205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78857 (or 78847 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

The spelling of 420251553205440 in words is "four hundred twenty trillion, two hundred fifty-one billion, five hundred fifty-three million, two hundred five thousand, four hundred forty".