101482295040 has 720 divisors, whose sum is σ = 421392609792. Its totient is φ = 22838796288.

The previous prime is 101482295009. The next prime is 101482295053. The reversal of 101482295040 is 40592284101.

101482295040 is a `hidden beast` number, since 1 + 0 + 148 + 2 + 2 + 9 + 504 + 0 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 101482294986 and 101482295004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48624877 + ... + 48626963.

Almost surely, 2^101482295040 is an apocalyptic number.

101482295040 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 101482295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210696304896).

101482295040 is an abundant number, since it is smaller than the sum of its proper divisors (319910314752).

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

101482295040 is an equidigital number, since it uses as much as digits as its factorization.

101482295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2171 counting only the distinct ones).

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

The spelling of 101482295040 in words is "one hundred one billion, four hundred eighty-two million, two hundred ninety-five thousand, forty".