101468669040 has 120 divisors (see below), whose sum is σ = 340829190000. Its totient is φ = 27053263872.

The previous prime is 101468669021. The next prime is 101468669047. The reversal of 101468669040 is 40966864101.

101468669040 is a `hidden beast` number, since 1 + 0 + 1 + 468 + 66 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101468669047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5389884 + ... + 5408676.

It is an arithmetic number, because the mean of its divisors is an integer number (2840243250).

Almost surely, 2^101468669040 is an apocalyptic number.

101468669040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101468669040 is an abundant number, since it is smaller than the sum of its proper divisors (239360520960).

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

101468669040 is a wasteful number, since it uses less digits than its factorization.

101468669040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26311 (or 26302 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 101468669040 in words is "one hundred one billion, four hundred sixty-eight million, six hundred sixty-nine thousand, forty".