7842407040 has 512 divisors, whose sum is σ = 30351283200. Its totient is φ = 1925959680.

The previous prime is 7842407021. The next prime is 7842407057. The reversal of 7842407040 is 407042487.

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 = 7842406986 and 7842407004.

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, 18195625 + ... + 18196055.

It is an arithmetic number, because the mean of its divisors is an integer number (59279850).

Almost surely, 2^7842407040 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 7842407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15175641600).

7842407040 is an abundant number, since it is smaller than the sum of its proper divisors (22508876160).

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

7842407040 is an equidigital number, since it uses as much as digits as its factorization.

7842407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 7842407040 is about 88557.3658144821. The cubic root of 7842407040 is about 1986.7800624933.

The spelling of 7842407040 in words is "seven billion, eight hundred forty-two million, four hundred seven thousand, forty".