101065641440 has 48 divisors (see below), whose sum is σ = 238786688448. Its totient is φ = 40423021056.

The previous prime is 101065641421. The next prime is 101065641463. The reversal of 101065641440 is 44146560101.

It is a super-3 number, since 3×101065641440³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 101065641397 and 101065641406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3597689 + ... + 3625671.

It is an arithmetic number, because the mean of its divisors is an integer number (4974722676).

Almost surely, 2^101065641440 is an apocalyptic number.

101065641440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101065641440 is an abundant number, since it is smaller than the sum of its proper divisors (137721047008).

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

101065641440 is a wasteful number, since it uses less digits than its factorization.

101065641440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50571 (or 50563 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 101065641440 in words is "one hundred one billion, sixty-five million, six hundred forty-one thousand, four hundred forty".