9974540046240 has 3072 divisors, whose sum is σ = 46015506432000. Its totient is φ = 1999613952000.

The previous prime is 9974540046239. The next prime is 9974540046307. The reversal of 9974540046240 is 426400454799.

9974540046240 is a `hidden beast` number, since 9 + 9 + 7 + 4 + 5 + 4 + 0 + 0 + 4 + 624 + 0 = 666.

It is a super-2 number, since 2×9974540046240² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 98757822190 + ... + 98757822290.

It is an arithmetic number, because the mean of its divisors is an integer number (14979006000).

Almost surely, 2^{9974540046240} is an apocalyptic number.

9974540046240 is a gapful number since it is divisible by the number (90) 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 9974540046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23007753216000).

9974540046240 is an abundant number, since it is smaller than the sum of its proper divisors (36040966385760).

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

9974540046240 is a wasteful number, since it uses less digits than its factorization.

9974540046240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 9974540046240 in words is "nine trillion, nine hundred seventy-four billion, five hundred forty million, forty-six thousand, two hundred forty".