11792701440 has 768 divisors, whose sum is σ = 48047126400. Its totient is φ = 2717908992.

The previous prime is 11792701399. The next prime is 11792701451. The reversal of 11792701440 is 4410729711.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 11792701395 and 11792701404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61101984 + ... + 61102176.

Almost surely, 2^11792701440 is an apocalyptic number.

11792701440 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 11792701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24023563200).

11792701440 is an abundant number, since it is smaller than the sum of its proper divisors (36254424960).

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

11792701440 is a wasteful number, since it uses less digits than its factorization.

11792701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 11792701440 in words is "eleven billion, seven hundred ninety-two million, seven hundred one thousand, four hundred forty".