142038274560 has 640 divisors, whose sum is σ = 572612350464. Its totient is φ = 29231677440.

The previous prime is 142038274507. The next prime is 142038274571. The reversal of 142038274560 is 65472830241.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 28651602 + ... + 28656558.

Almost surely, 2^142038274560 is an apocalyptic number.

142038274560 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 142038274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286306175232).

142038274560 is an abundant number, since it is smaller than the sum of its proper divisors (430574075904).

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

142038274560 is a wasteful number, since it uses less digits than its factorization.

142038274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5044 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 142038274560 in words is "one hundred forty-two billion, thirty-eight million, two hundred seventy-four thousand, five hundred sixty".