101948268303440 has 320 divisors, whose sum is σ = 277744949852160. Its totient is φ = 34463659991040.

The previous prime is 101948268303419. The next prime is 101948268303449. The reversal of 101948268303440 is 44303862849101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101948268303449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448892954 + ... + 449120006.

It is an arithmetic number, because the mean of its divisors is an integer number (867952968288).

Almost surely, 2^{101948268303440} is an apocalyptic number.

101948268303440 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 101948268303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138872474926080).

101948268303440 is an abundant number, since it is smaller than the sum of its proper divisors (175796681548720).

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

101948268303440 is a wasteful number, since it uses less digits than its factorization.

101948268303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227862 (or 227856 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 53.

The spelling of 101948268303440 in words is "one hundred one trillion, nine hundred forty-eight billion, two hundred sixty-eight million, three hundred three thousand, four hundred forty".