1114792398720 has 4032 divisors, whose sum is σ = 5679578459520. Its totient is φ = 206928691200.

The previous prime is 1114792398659. The next prime is 1114792398749. The reversal of 1114792398720 is 278932974111.

1114792398720 is a `hidden beast` number, since 1 + 1 + 147 + 92 + 398 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 35961045105 + ... + 35961045135.

It is an arithmetic number, because the mean of its divisors is an integer number (1408625610).

Almost surely, 2^{1114792398720} is an apocalyptic number.

1114792398720 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 1114792398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839789229760).

1114792398720 is an abundant number, since it is smaller than the sum of its proper divisors (4564786060800).

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

1114792398720 is a wasteful number, since it uses less digits than its factorization.

1114792398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

1114792398720 divided by its product of nonzero digits (1524096) gives a triangular number (731445 = T₁₂₀₉).

The spelling of 1114792398720 in words is "one trillion, one hundred fourteen billion, seven hundred ninety-two million, three hundred ninety-eight thousand, seven hundred twenty".