420010376400 has 180 divisors, whose sum is σ = 1477520075148. Its totient is φ = 110468413440.

The previous prime is 420010376371. The next prime is 420010376411. The reversal of 420010376400 is 4673010024.

420010376400 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 10 + 3 + 7 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 77546654784 + 342463721616 = 278472^2 + 585204^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 536307 + ... + 1061906.

Almost surely, 2^420010376400 is an apocalyptic number.

420010376400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420010376400 is an abundant number, since it is smaller than the sum of its proper divisors (1057509698748).

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

420010376400 is a wasteful number, since it uses less digits than its factorization.

420010376400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598310 (or 1598296 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 420010376400 its reverse (4673010024), we get a palindrome (424683386424).

The spelling of 420010376400 in words is "four hundred twenty billion, ten million, three hundred seventy-six thousand, four hundred".