24781256540040 has 512 divisors, whose sum is σ = 99832236134400. Its totient is φ = 4752580055040.

The previous prime is 24781256540021. The next prime is 24781256540041. The reversal of 24781256540040 is 4004565218742.

It is a super-2 number, since 2×24781256540040² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24781256540041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1506176454 + ... + 1506192906.

It is an arithmetic number, because the mean of its divisors is an integer number (194984836200).

Almost surely, 2^{24781256540040} is an apocalyptic number.

24781256540040 is a gapful number since it is divisible by the number (20) 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 24781256540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49916118067200).

24781256540040 is an abundant number, since it is smaller than the sum of its proper divisors (75050979594360).

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

24781256540040 is a wasteful number, since it uses less digits than its factorization.

24781256540040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29037 (or 29033 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 24781256540040 in words is "twenty-four trillion, seven hundred eighty-one billion, two hundred fifty-six million, five hundred forty thousand, forty".