1074999240000 has 1260 divisors, whose sum is σ = 4520100370500. Its totient is φ = 243468288000.

The previous prime is 1074999239999. The next prime is 1074999240001. The reversal of 1074999240000 is 429994701.

It is a happy number.

1074999240000 is a `hidden beast` number, since 1 + 0 + 74 + 99 + 92 + 400 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1074999239999) and next prime (1074999240001).

It can be written as a sum of positive squares in 10 ways, for example, as 802715651136 + 272283588864 = 895944^2 + 521808^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074999240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2628359796 + ... + 2628360204.

Almost surely, 2^{1074999240000} is an apocalyptic number.

1074999240000 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 1074999240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260050185250).

1074999240000 is an abundant number, since it is smaller than the sum of its proper divisors (3445101130500).

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

1074999240000 is a wasteful number, since it uses less digits than its factorization.

1074999240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1074999240000 in words is "one trillion, seventy-four billion, nine hundred ninety-nine million, two hundred forty thousand".