7133894040 has 256 divisors, whose sum is σ = 26408632320. Its totient is φ = 1501286400.

The previous prime is 7133893979. The next prime is 7133894069. The reversal of 7133894040 is 404983317.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 7133894040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6562377 + ... + 6563463.

It is an arithmetic number, because the mean of its divisors is an integer number (103158720).

Almost surely, 2^7133894040 is an apocalyptic number.

7133894040 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 7133894040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13204316160).

7133894040 is an abundant number, since it is smaller than the sum of its proper divisors (19274738280).

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

7133894040 is a wasteful number, since it uses less digits than its factorization.

7133894040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 7133894040 is about 84462.3823959519. The cubic root of 7133894040 is about 1925.0509045964.

The spelling of 7133894040 in words is "seven billion, one hundred thirty-three million, eight hundred ninety-four thousand, forty".