7401141349776 has 160 divisors (see below), whose sum is σ = 21422044080000. Its totient is φ = 2446440579072.

The previous prime is 7401141349747. The next prime is 7401141349781. The reversal of 7401141349776 is 6779431411047.

7401141349776 is a `hidden beast` number, since 7 + 4 + 0 + 1 + 141 + 3 + 497 + 7 + 6 = 666.

It is a super-2 number, since 2×7401141349776² (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31499740 + ... + 31733828.

It is an arithmetic number, because the mean of its divisors is an integer number (133887775500).

Almost surely, 2^{7401141349776} 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 7401141349776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10711022040000).

7401141349776 is an abundant number, since it is smaller than the sum of its proper divisors (14020902730224).

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

7401141349776 is a wasteful number, since it uses less digits than its factorization.

7401141349776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234718 (or 234706 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 7401141349776 in words is "seven trillion, four hundred one billion, one hundred forty-one million, three hundred forty-nine thousand, seven hundred seventy-six".