7123478040 has 512 divisors, whose sum is σ = 29424384000. Its totient is φ = 1495646208.

The previous prime is 7123478009. The next prime is 7123478041. The reversal of 7123478040 is 408743217.

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 = 7123477986 and 7123478004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7123478041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5525716 + ... + 5527004.

It is an arithmetic number, because the mean of its divisors is an integer number (57469500).

Almost surely, 2^7123478040 is an apocalyptic number.

7123478040 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 7123478040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712192000).

7123478040 is an abundant number, since it is smaller than the sum of its proper divisors (22300905960).

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

7123478040 is a wasteful number, since it uses less digits than its factorization.

7123478040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7123478040 is about 84400.6992862026. The cubic root of 7123478040 is about 1924.1135438399.

The spelling of 7123478040 in words is "seven billion, one hundred twenty-three million, four hundred seventy-eight thousand, forty".