11928499914240 has 4000 divisors, whose sum is σ = 57083352369120. Its totient is φ = 2359739547648.

The previous prime is 11928499914229. The next prime is 11928499914257. The reversal of 11928499914240 is 4241999482911.

11928499914240 is a `hidden beast` number, since 1 + 1 + 92 + 8 + 499 + 9 + 14 + 2 + 40 = 666.

It is a super-2 number, since 2×11928499914240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 122974225872 + ... + 122974225968.

Almost surely, 2^{11928499914240} is an apocalyptic number.

11928499914240 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 11928499914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28541676184560).

11928499914240 is an abundant number, since it is smaller than the sum of its proper divisors (45154852454880).

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

11928499914240 is an frugal number, since it uses more digits than its factorization.

11928499914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 11928499914240 in words is "eleven trillion, nine hundred twenty-eight billion, four hundred ninety-nine million, nine hundred fourteen thousand, two hundred forty".