7401540880080 has 480 divisors, whose sum is σ = 25431517841184. Its totient is φ = 1928674934784.

The previous prime is 7401540880061. The next prime is 7401540880103. The reversal of 7401540880080 is 800880451047.

It can be written as a sum of positive squares in 16 ways, for example, as 3617877893184 + 3783662986896 = 1902072^2 + 1945164^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 6747074092 + ... + 6747075188.

Almost surely, 2^{7401540880080} 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 7401540880080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12715758920592).

7401540880080 is an abundant number, since it is smaller than the sum of its proper divisors (18029976961104).

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

7401540880080 is a wasteful number, since it uses less digits than its factorization.

7401540880080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 7401540880080 in words is "seven trillion, four hundred one billion, five hundred forty million, eight hundred eighty thousand, eighty".