101532385440 has 960 divisors, whose sum is σ = 399040266240. Its totient is φ = 24208865280.

The previous prime is 101532385439. The next prime is 101532385457. The reversal of 101532385440 is 44583235101.

101532385440 is a `hidden beast` number, since 1 + 0 + 1 + 532 + 3 + 85 + 4 + 40 = 666.

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 = 101532385395 and 101532385404.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 358771539 + ... + 358771821.

It is an arithmetic number, because the mean of its divisors is an integer number (415666944).

Almost surely, 2^101532385440 is an apocalyptic number.

101532385440 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 101532385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199520133120).

101532385440 is an abundant number, since it is smaller than the sum of its proper divisors (297507880800).

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

101532385440 is a wasteful number, since it uses less digits than its factorization.

101532385440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 101532385440 in words is "one hundred one billion, five hundred thirty-two million, three hundred eighty-five thousand, four hundred forty".