1001496000960 has 2352 divisors, whose sum is σ = 4682172764160. Its totient is φ = 199135272960.

The previous prime is 1001496000949. The next prime is 1001496001013. The reversal of 1001496000960 is 690006941001.

1001496000960 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 49 + 600 + 0 + 9 + 6 + 0 = 666.

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 335 ways as a sum of consecutive naturals, for example, 5243434465 + ... + 5243434655.

Almost surely, 2^{1001496000960} is an apocalyptic number.

1001496000960 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 1001496000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341086382080).

1001496000960 is an abundant number, since it is smaller than the sum of its proper divisors (3680676763200).

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

1001496000960 is a wasteful number, since it uses less digits than its factorization.

1001496000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 1001496000960 in words is "one trillion, one billion, four hundred ninety-six million, nine hundred sixty", and thus it is an aban number.