101541456705440 has 24 divisors (see below), whose sum is σ = 239891691466980. Its totient is φ = 40616582682112.

The previous prime is 101541456705439. The next prime is 101541456705457. The reversal of 101541456705440 is 44507654145101.

It can be written as a sum of positive squares in 2 ways, for example, as 85955668627984 + 15585788077456 = 9271228^2 + 3947884^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 317317052045 + ... + 317317052364.

Almost surely, 2^{101541456705440} is an apocalyptic number.

101541456705440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101541456705440 is an abundant number, since it is smaller than the sum of its proper divisors (138350234761540).

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

101541456705440 is an equidigital number, since it uses as much as digits as its factorization.

101541456705440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634634104424 (or 634634104416 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 47.

The spelling of 101541456705440 in words is "one hundred one trillion, five hundred forty-one billion, four hundred fifty-six million, seven hundred five thousand, four hundred forty".