189078024240 has 720 divisors, whose sum is σ = 811090283328. Its totient is φ = 38528483328.

The previous prime is 189078024217. The next prime is 189078024269. The reversal of 189078024240 is 42420870981.

It is a tau number, because it is divible by the number of its divisors (720).

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, 30927424 + ... + 30933536.

Almost surely, 2^189078024240 is an apocalyptic number.

189078024240 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 189078024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405545141664).

189078024240 is an abundant number, since it is smaller than the sum of its proper divisors (622012259088).

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

189078024240 is a wasteful number, since it uses less digits than its factorization.

189078024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6194 (or 6166 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 189078024240 in words is "one hundred eighty-nine billion, seventy-eight million, twenty-four thousand, two hundred forty".