4215406400 has 42 divisors (see below), whose sum is σ = 10372538310. Its totient is φ = 1686161920.

The previous prime is 4215406369. The next prime is 4215406421. The reversal of 4215406400 is 46045124.

It can be written as a sum of positive squares in 3 ways, for example, as 254466304 + 3960940096 = 15952^2 + 62936^2 .

It is a super-2 number, since 2×4215406400² = 35539302234321920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4215406400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1315715 + ... + 1318914.

Almost surely, 2^4215406400 is an apocalyptic number.

4215406400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4215406400 is an abundant number, since it is smaller than the sum of its proper divisors (6157131910).

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

4215406400 is a wasteful number, since it uses less digits than its factorization.

4215406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634651 (or 2634636 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4215406400 is about 64926.1611370948. The cubic root of 4215406400 is about 1615.3990266055.

The spelling of 4215406400 in words is "four billion, two hundred fifteen million, four hundred six thousand, four hundred".