24040412728956 has 120 divisors (see below), whose sum is σ = 67699923740064. Its totient is φ = 7394951790720.

The previous prime is 24040412728951. The next prime is 24040412728973. The reversal of 24040412728956 is 65982721404042.

24040412728956 is a `hidden beast` number, since 2 + 4 + 0 + 404 + 127 + 28 + 95 + 6 = 666.

It is a super-2 number, since 2×24040412728956² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24040412728951) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14073241 + ... + 15688751.

Almost surely, 2^{24040412728956} is an apocalyptic number.

24040412728956 is a gapful number since it is divisible by the number (26) 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 24040412728956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33849961870032).

24040412728956 is an abundant number, since it is smaller than the sum of its proper divisors (43659511011108).

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

24040412728956 is a wasteful number, since it uses less digits than its factorization.

24040412728956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619073 (or 1619062 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 24040412728956 in words is "twenty-four trillion, forty billion, four hundred twelve million, seven hundred twenty-eight thousand, nine hundred fifty-six".