101480970240 has 576 divisors, whose sum is σ = 384426544320. Its totient is φ = 24607457280.

The previous prime is 101480970187. The next prime is 101480970301. The reversal of 101480970240 is 42079084101.

101480970240 is a `hidden beast` number, since 101 + 480 + 9 + 70 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101480970195 and 101480970204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85063084 + ... + 85064276.

It is an arithmetic number, because the mean of its divisors is an integer number (667407195).

Almost surely, 2^101480970240 is an apocalyptic number.

101480970240 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 101480970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192213272160).

101480970240 is an abundant number, since it is smaller than the sum of its proper divisors (282945574080).

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

101480970240 is a wasteful number, since it uses less digits than its factorization.

101480970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 101480970240 in words is "one hundred one billion, four hundred eighty million, nine hundred seventy thousand, two hundred forty".