7401725400641 has 32 divisors (see below), whose sum is σ = 8709436262016. Its totient is φ = 6201457920000.

The previous prime is 7401725400577. The next prime is 7401725400673. The reversal of 7401725400641 is 1460045271047.

It is a cyclic number.

It is not a de Polignac number, because 7401725400641 - 2⁶ = 7401725400577 is a prime.

It is a super-3 number, since 3×7401725400641³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7401725400241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255032711 + ... + 255061731.

It is an arithmetic number, because the mean of its divisors is an integer number (272169883188).

Almost surely, 2^{7401725400641} is an apocalyptic number.

It is an amenable number.

7401725400641 is a deficient number, since it is larger than the sum of its proper divisors (1307710861375).

7401725400641 is a wasteful number, since it uses less digits than its factorization.

7401725400641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31793.

The product of its (nonzero) digits is 188160, while the sum is 41.

The spelling of 7401725400641 in words is "seven trillion, four hundred one billion, seven hundred twenty-five million, four hundred thousand, six hundred forty-one".