1074954240000 has 855 divisors, whose sum is σ = 4029576034627. Its totient is φ = 286654464000.

The previous prime is 1074954239969. The next prime is 1074954240013. The reversal of 1074954240000 is 424594701.

It is a happy number.

The square root of 1074954240000 is 1036800.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (6!)⁴ ⋅ (2!)².

1074954240000 is a `hidden beast` number, since 1 + 0 + 74 + 9 + 542 + 40 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84276412416 + 990677827584 = 290304^2 + 995328^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=720.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 214990847998 + ... + 214990848002.

Almost surely, 2^{1074954240000} is an apocalyptic number.

1074954240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1074954240000 is the 1036800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074954240000

1074954240000 is an abundant number, since it is smaller than the sum of its proper divisors (2954621794627).

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

1074954240000 is an frugal number, since it uses more digits than its factorization.

1074954240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 1074954240000 by its sum of digits (36), we get a square (38698352640000 = 6220800²).

1074954240000 divided by its sum of digits (36) gives a square (29859840000 = 172800²).

The spelling of 1074954240000 in words is "one trillion, seventy-four billion, nine hundred fifty-four million, two hundred forty thousand".