1352552042400 has 864 divisors, whose sum is σ = 5170687179840. Its totient is φ = 304424386560.

The previous prime is 1352552042389. The next prime is 1352552042449. The reversal of 1352552042400 is 42402552531.

It is a happy number.

It is a super-2 number, since 2×1352552042400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 498543444 + ... + 498546156.

Almost surely, 2^{1352552042400} is an apocalyptic number.

1352552042400 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 1352552042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585343589920).

1352552042400 is an abundant number, since it is smaller than the sum of its proper divisors (3818135137440).

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

1352552042400 is a wasteful number, since it uses less digits than its factorization.

1352552042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 1352552042400 its reverse (42402552531), we get a palindrome (1394954594931).

The spelling of 1352552042400 in words is "one trillion, three hundred fifty-two billion, five hundred fifty-two million, forty-two thousand, four hundred".