1001358385920 has 432 divisors, whose sum is σ = 3582341380800. Its totient is φ = 258051833856.

The previous prime is 1001358385849. The next prime is 1001358385943. The reversal of 1001358385920 is 295838531001.

1001358385920 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 58 + 3 + 8 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63501877 + ... + 63517643.

It is an arithmetic number, because the mean of its divisors is an integer number (8292456900).

Almost surely, 2^{1001358385920} is an apocalyptic number.

1001358385920 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 1001358385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791170690400).

1001358385920 is an abundant number, since it is smaller than the sum of its proper divisors (2580982994880).

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

1001358385920 is a wasteful number, since it uses less digits than its factorization.

1001358385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15980 (or 15963 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1001358385920 in words is "one trillion, one billion, three hundred fifty-eight million, three hundred eighty-five thousand, nine hundred twenty".