7073401134408 has 384 divisors, whose sum is σ = 22378020336000. Its totient is φ = 1851349893120.

The previous prime is 7073401134391. The next prime is 7073401134473. The reversal of 7073401134408 is 8044311043707.

It is a happy number.

It is a super-3 number, since 3×7073401134408³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 7073401134408.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103485588 + ... + 103553916.

It is an arithmetic number, because the mean of its divisors is an integer number (58276094625).

Almost surely, 2^{7073401134408} 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 7073401134408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11189010168000).

7073401134408 is an abundant number, since it is smaller than the sum of its proper divisors (15304619201592).

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

7073401134408 is a wasteful number, since it uses less digits than its factorization.

7073401134408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68525 (or 68514 counting only the distinct ones).

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

The spelling of 7073401134408 in words is "seven trillion, seventy-three billion, four hundred one million, one hundred thirty-four thousand, four hundred eight".