7401156440034 has 128 divisors (see below), whose sum is σ = 17334771098112. Its totient is φ = 2063053670400.

The previous prime is 7401156440021. The next prime is 7401156440057. The reversal of 7401156440034 is 4300446511047.

It is a junction number, because it is equal to n+sod(n) for n = 7401156439974 and 7401156440001.

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, 345886224 + ... + 345907620.

It is an arithmetic number, because the mean of its divisors is an integer number (135427899204).

Almost surely, 2^{7401156440034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7401156440034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8667385549056).

7401156440034 is an abundant number, since it is smaller than the sum of its proper divisors (9933614658078).

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

7401156440034 is a wasteful number, since it uses less digits than its factorization.

7401156440034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22700.

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 7401156440034 in words is "seven trillion, four hundred one billion, one hundred fifty-six million, four hundred forty thousand, thirty-four".