7142217431040 has 1152 divisors, whose sum is σ = 27447540120000. Its totient is φ = 1774964441088.

The previous prime is 7142217430961. The next prime is 7142217431059. The reversal of 7142217431040 is 401347122417.

7142217431040 is a `hidden beast` number, since 7 + 1 + 4 + 2 + 217 + 431 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×7142217431040² (a number of 27 digits) contains 22 as substring.

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 = 7142217430986 and 7142217431004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4610856186 + ... + 4610857734.

Almost surely, 2^{7142217431040} 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 7142217431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13723770060000).

7142217431040 is an abundant number, since it is smaller than the sum of its proper divisors (20305322688960).

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

7142217431040 is a wasteful number, since it uses less digits than its factorization.

7142217431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1685 counting only the distinct ones).

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

The spelling of 7142217431040 in words is "seven trillion, one hundred forty-two billion, two hundred seventeen million, four hundred thirty-one thousand, forty".