7145305440 has 288 divisors, whose sum is σ = 28197681120. Its totient is φ = 1507516416.

The previous prime is 7145305439. The next prime is 7145305493. The reversal of 7145305440 is 445035417.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294076 + ... + 317444.

It is an arithmetic number, because the mean of its divisors is an integer number (97908615).

Almost surely, 2^7145305440 is an apocalyptic number.

7145305440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7145305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14098840560).

7145305440 is an abundant number, since it is smaller than the sum of its proper divisors (21052375680).

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

7145305440 is a wasteful number, since it uses less digits than its factorization.

7145305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23414 (or 23399 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 7145305440 is about 84529.9085531269. The cubic root of 7145305440 is about 1926.0767970033.

The spelling of 7145305440 in words is "seven billion, one hundred forty-five million, three hundred five thousand, four hundred forty".