7142145840 has 400 divisors, whose sum is σ = 26127845568. Its totient is φ = 1804695552.

The previous prime is 7142145799. The next prime is 7142145851. The reversal of 7142145840 is 485412417.

It is a happy number.

7142145840 is a `hidden beast` number, since 71 + 4 + 2 + 1 + 4 + 584 + 0 = 666.

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 = 7142145795 and 7142145804.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25783782 + ... + 25784058.

Almost surely, 2^7142145840 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 7142145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063922784).

7142145840 is an abundant number, since it is smaller than the sum of its proper divisors (18985699728).

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

7142145840 is a wasteful number, since it uses less digits than its factorization.

7142145840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 7142145840 is about 84511.2172436299. The cubic root of 7142145840 is about 1925.7928562851.

The spelling of 7142145840 in words is "seven billion, one hundred forty-two million, one hundred forty-five thousand, eight hundred forty".