101142448727040 has 704 divisors, whose sum is σ = 424956178137600. Its totient is φ = 22321085939712.

The previous prime is 101142448727039. The next prime is 101142448727059. The reversal of 101142448727040 is 40727844241101.

101142448727040 is a `hidden beast` number, since 1 + 0 + 1 + 142 + 4 + 487 + 27 + 0 + 4 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 26260642 + ... + 29864798.

Almost surely, 2^{101142448727040} is an apocalyptic number.

101142448727040 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 101142448727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212478089068800).

101142448727040 is an abundant number, since it is smaller than the sum of its proper divisors (323813729410560).

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

101142448727040 is a wasteful number, since it uses less digits than its factorization.

101142448727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604227 (or 3604203 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 101142448727040 in words is "one hundred one trillion, one hundred forty-two billion, four hundred forty-eight million, seven hundred twenty-seven thousand, forty".