1032411294720 has 1408 divisors, whose sum is σ = 4278616473600. Its totient is φ = 233768484864.

The previous prime is 1032411294671. The next prime is 1032411294749. The reversal of 1032411294720 is 274921142301.

1032411294720 is a `hidden beast` number, since 10 + 324 + 11 + 294 + 7 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1435898521 + ... + 1435899239.

Almost surely, 2^{1032411294720} is an apocalyptic number.

1032411294720 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 1032411294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139308236800).

1032411294720 is an abundant number, since it is smaller than the sum of its proper divisors (3246205178880).

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

1032411294720 is a wasteful number, since it uses less digits than its factorization.

1032411294720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1032411294720 in words is "one trillion, thirty-two billion, four hundred eleven million, two hundred ninety-four thousand, seven hundred twenty".