1011008241600 has 1344 divisors, whose sum is σ = 4039103480832. Its totient is φ = 216612864000.

The previous prime is 1011008241533. The next prime is 1011008241623. The reversal of 1011008241600 is 61428001101.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4453780687 + ... + 4453780913.

It is an arithmetic number, because the mean of its divisors is an integer number (3005285328).

Almost surely, 2^{1011008241600} is an apocalyptic number.

1011008241600 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 1011008241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019551740416).

1011008241600 is an abundant number, since it is smaller than the sum of its proper divisors (3028095239232).

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

1011008241600 is a wasteful number, since it uses less digits than its factorization.

1011008241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 1011008241600 in words is "one trillion, eleven billion, eight million, two hundred forty-one thousand, six hundred".