101942543831040 has 3744 divisors, whose sum is σ = 428799060738048. Its totient is φ = 23176013414400.

The previous prime is 101942543830969. The next prime is 101942543831057. The reversal of 101942543831040 is 40138345249101.

101942543831040 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 4 + 254 + 383 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 802697195457 + ... + 802697195583.

Almost surely, 2^{101942543831040} is an apocalyptic number.

101942543831040 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 101942543831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214399530369024).

101942543831040 is an abundant number, since it is smaller than the sum of its proper divisors (326856516907008).

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

101942543831040 is a wasteful number, since it uses less digits than its factorization.

101942543831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 101942543831040 in words is "one hundred one trillion, nine hundred forty-two billion, five hundred forty-three million, eight hundred thirty-one thousand, forty".