20142951840 has 1152 divisors, whose sum is σ = 86951854080. Its totient is φ = 4180377600.

The previous prime is 20142951827. The next prime is 20142951841. The reversal of 20142951840 is 4815924102.

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 = 20142951795 and 20142951804.

It is not an unprimeable number, because it can be changed into a prime (20142951841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158605857 + ... + 158605983.

It is an arithmetic number, because the mean of its divisors is an integer number (75479040).

Almost surely, 2^20142951840 is an apocalyptic number.

20142951840 is a gapful number since it is divisible by the number (20) 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 20142951840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43475927040).

20142951840 is an abundant number, since it is smaller than the sum of its proper divisors (66808902240).

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

20142951840 is a wasteful number, since it uses less digits than its factorization.

20142951840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 20142951840 in words is "twenty billion, one hundred forty-two million, nine hundred fifty-one thousand, eight hundred forty".