7481039040 has 672 divisors, whose sum is σ = 29419174080. Its totient is φ = 1782743040.

The previous prime is 7481039029. The next prime is 7481039099. The reversal of 7481039040 is 409301847.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7481038986 and 7481039004.

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, 141151654 + ... + 141151706.

Almost surely, 2^7481039040 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 7481039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14709587040).

7481039040 is an abundant number, since it is smaller than the sum of its proper divisors (21938135040).

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

7481039040 is a wasteful number, since it uses less digits than its factorization.

7481039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7481039040 is about 86492.9999479727. Note that the first 4 decimals coincide. The cubic root of 7481039040 is about 1955.7828807895.

The spelling of 7481039040 in words is "seven billion, four hundred eighty-one million, thirty-nine thousand, forty".