142065962640 has 640 divisors, whose sum is σ = 573356160000. Its totient is φ = 32318963712.

The previous prime is 142065962617. The next prime is 142065962663. The reversal of 142065962640 is 46269560241.

142065962640 is a `hidden beast` number, since 14 + 2 + 0 + 6 + 5 + 9 + 626 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (142065962617) and next prime (142065962663).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 249676276 + ... + 249676844.

It is an arithmetic number, because the mean of its divisors is an integer number (895869000).

Almost surely, 2^142065962640 is an apocalyptic number.

142065962640 is a gapful number since it is divisible by the number (10) 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 142065962640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286678080000).

142065962640 is an abundant number, since it is smaller than the sum of its proper divisors (431290197360).

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

142065962640 is a wasteful number, since it uses less digits than its factorization.

142065962640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 142065962640 in words is "one hundred forty-two billion, sixty-five million, nine hundred sixty-two thousand, six hundred forty".