1420882358400 has 576 divisors, whose sum is σ = 5388165436680. Its totient is φ = 355292282880.

The previous prime is 1420882358381. The next prime is 1420882358407. The reversal of 1420882358400 is 48532880241.

1420882358400 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 8 + 8 + 235 + 8 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 172371110976 + 1248511247424 = 415176^2 + 1117368^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (1420882358407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135613962 + ... + 135624438.

Almost surely, 2^{1420882358400} is an apocalyptic number.

1420882358400 is a gapful number since it is divisible by the number (10) 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 1420882358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694082718340).

1420882358400 is an abundant number, since it is smaller than the sum of its proper divisors (3967283078280).

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

1420882358400 is a wasteful number, since it uses less digits than its factorization.

1420882358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10801 (or 10781 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1420882358400 in words is "one trillion, four hundred twenty billion, eight hundred eighty-two million, three hundred fifty-eight thousand, four hundred".