4252207358400 has 672 divisors, whose sum is σ = 15141180426240. Its totient is φ = 1041869537280.

The previous prime is 4252207358383. The next prime is 4252207358471. The reversal of 4252207358400 is 48537022524.

It is a super-2 number, since 2×4252207358400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322692612 + ... + 322705788.

Almost surely, 2^{4252207358400} is an apocalyptic number.

4252207358400 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 4252207358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7570590213120).

4252207358400 is an abundant number, since it is smaller than the sum of its proper divisors (10888973067840).

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

4252207358400 is a wasteful number, since it uses less digits than its factorization.

4252207358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13341 (or 13326 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 4252207358400 in words is "four trillion, two hundred fifty-two billion, two hundred seven million, three hundred fifty-eight thousand, four hundred".