1035664232400 has 720 divisors, whose sum is σ = 4308427528704. Its totient is φ = 225415249920.

The previous prime is 1035664232381. The next prime is 1035664232413. The reversal of 1035664232400 is 42324665301.

1035664232400 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 6 + 642 + 3 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×1035664232400³ (a number of 37 digits) contains 333 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43810984 + ... + 43834616.

Almost surely, 2^{1035664232400} is an apocalyptic number.

1035664232400 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 1035664232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154213764352).

1035664232400 is an abundant number, since it is smaller than the sum of its proper divisors (3272763296304).

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

1035664232400 is a wasteful number, since it uses less digits than its factorization.

1035664232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23748 (or 23734 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 1035664232400 its reverse (42324665301), we get a palindrome (1077988897701).

The spelling of 1035664232400 in words is "one trillion, thirty-five billion, six hundred sixty-four million, two hundred thirty-two thousand, four hundred".