109143001094400 has 1944 divisors, whose sum is σ = 494738974679040. Its totient is φ = 22749893591040.

The previous prime is 109143001094399. The next prime is 109143001094431. The reversal of 109143001094400 is 4490100341901.

109143001094400 is a `hidden beast` number, since 1 + 0 + 9 + 143 + 0 + 0 + 109 + 4 + 400 = 666.

It is a super-2 number, since 2×109143001094400² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3045351681 + ... + 3045387519.

Almost surely, 2^{109143001094400} is an apocalyptic number.

109143001094400 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 109143001094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247369487339520).

109143001094400 is an abundant number, since it is smaller than the sum of its proper divisors (385595973584640).

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

109143001094400 is a wasteful number, since it uses less digits than its factorization.

109143001094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35981 (or 35952 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 109143001094400 in words is "one hundred nine trillion, one hundred forty-three billion, one million, ninety-four thousand, four hundred".