74007261016440 has 256 divisors, whose sum is σ = 228250109952000. Its totient is φ = 19189394864640.

The previous prime is 74007261016439. The next prime is 74007261016477. The reversal of 74007261016440 is 4461016270047.

It is a junction number, because it is equal to n+sod(n) for n = 74007261016392 and 74007261016401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2687348191 + ... + 2687375729.

It is an arithmetic number, because the mean of its divisors is an integer number (891601992000).

Almost surely, 2^{74007261016440} 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 74007261016440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114125054976000).

74007261016440 is an abundant number, since it is smaller than the sum of its proper divisors (154242848935560).

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

74007261016440 is a wasteful number, since it uses less digits than its factorization.

74007261016440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31930 (or 31926 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

Adding to 74007261016440 its reverse (4461016270047), we get a palindrome (78468277286487).

The spelling of 74007261016440 in words is "seventy-four trillion, seven billion, two hundred sixty-one million, sixteen thousand, four hundred forty".