142008009690240 has 1152 divisors, whose sum is σ = 544724565840000. Its totient is φ = 34018710257664.

The previous prime is 142008009690227. The next prime is 142008009690251. The reversal of 142008009690240 is 42096900800241.

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

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 143 ways as a sum of consecutive naturals, for example, 19105069564 + ... + 19105076996.

It is an arithmetic number, because the mean of its divisors is an integer number (472851185625).

Almost surely, 2^{142008009690240} is an apocalyptic number.

142008009690240 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 142008009690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272362282920000).

142008009690240 is an abundant number, since it is smaller than the sum of its proper divisors (402716556149760).

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

142008009690240 is a wasteful number, since it uses less digits than its factorization.

142008009690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8014 (or 7982 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 142008009690240 in words is "one hundred forty-two trillion, eight billion, nine million, six hundred ninety thousand, two hundred forty".