7461531040 has 96 divisors (see below), whose sum is σ = 18791136000. Its totient is φ = 2791646208.

The previous prime is 7461531023. The next prime is 7461531061. The reversal of 7461531040 is 401351647.

It is a junction number, because it is equal to n+sod(n) for n = 7461530993 and 7461531011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224626 + ... + 255694.

It is an arithmetic number, because the mean of its divisors is an integer number (195741000).

Almost surely, 2^7461531040 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 7461531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395568000).

7461531040 is an abundant number, since it is smaller than the sum of its proper divisors (11329604960).

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

7461531040 is a wasteful number, since it uses less digits than its factorization.

7461531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31182 (or 31174 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 7461531040 is about 86380.1542022240. The cubic root of 7461531040 is about 1954.0813959173.

Adding to 7461531040 its reverse (401351647), we get a palindrome (7862882687).

The spelling of 7461531040 in words is "seven billion, four hundred sixty-one million, five hundred thirty-one thousand, forty".