420378134400 has 1728 divisors, whose sum is σ = 1832352565680. Its totient is φ = 91410923520.

The previous prime is 420378134387. The next prime is 420378134443. The reversal of 420378134400 is 4431873024.

420378134400 is a `hidden beast` number, since 4 + 203 + 7 + 8 + 1 + 3 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4333795152 + ... + 4333795248.

Almost surely, 2^420378134400 is an apocalyptic number.

420378134400 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 420378134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916176282840).

420378134400 is an abundant number, since it is smaller than the sum of its proper divisors (1411974431280).

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

420378134400 is a wasteful number, since it uses less digits than its factorization.

420378134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 420378134400 in words is "four hundred twenty billion, three hundred seventy-eight million, one hundred thirty-four thousand, four hundred".