101437641440 has 48 divisors (see below), whose sum is σ = 240530834880. Its totient is φ = 40425315840.

The previous prime is 101437641407. The next prime is 101437641443. The reversal of 101437641440 is 44146734101.

101437641440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 101437641440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101437641443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1126355 + ... + 1213074.

It is an arithmetic number, because the mean of its divisors is an integer number (5011059060).

Almost surely, 2^101437641440 is an apocalyptic number.

101437641440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101437641440 is an abundant number, since it is smaller than the sum of its proper divisors (139093193440).

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

101437641440 is a wasteful number, since it uses less digits than its factorization.

101437641440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339715 (or 2339707 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 101437641440 in words is "one hundred one billion, four hundred thirty-seven million, six hundred forty-one thousand, four hundred forty".