4001240274460 has 192 divisors, whose sum is σ = 10070563442688. Its totient is φ = 1316165760000.

The previous prime is 4001240274359. The next prime is 4001240274503. The reversal of 4001240274460 is 644720421004.

It is a super-2 number, since 2×4001240274460² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47236345 + ... + 47320975.

It is an arithmetic number, because the mean of its divisors is an integer number (52450851264).

Almost surely, 2^{4001240274460} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001240274460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035281721344).

4001240274460 is an abundant number, since it is smaller than the sum of its proper divisors (6069323168228).

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

4001240274460 is a wasteful number, since it uses less digits than its factorization.

4001240274460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84996 (or 84994 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

Adding to 4001240274460 its reverse (644720421004), we get a palindrome (4645960695464).

The spelling of 4001240274460 in words is "four trillion, one billion, two hundred forty million, two hundred seventy-four thousand, four hundred sixty".