420403203157440 has 448 divisors, whose sum is σ = 1471179577393152. Its totient is φ = 101360783462400.

The previous prime is 420403203157423. The next prime is 420403203157537. The reversal of 420403203157440 is 44751302304024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22290855 + ... + 36574425.

Almost surely, 2^{420403203157440} is an apocalyptic number.

420403203157440 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 420403203157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735589788696576).

420403203157440 is an abundant number, since it is smaller than the sum of its proper divisors (1050776374235712).

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

420403203157440 is a wasteful number, since it uses less digits than its factorization.

420403203157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14283688 (or 14283678 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 39.

The spelling of 420403203157440 in words is "four hundred twenty trillion, four hundred three billion, two hundred three million, one hundred fifty-seven thousand, four hundred forty".