101456087040 has 1728 divisors, whose sum is σ = 480740158080. Its totient is φ = 19157483520.

The previous prime is 101456087009. The next prime is 101456087053. The reversal of 101456087040 is 40780654101.

It is a happy number.

101456087040 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 608 + 7 + 0 + 40 = 666.

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 = 101456086986 and 101456087004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3498485746 + ... + 3498485774.

It is an arithmetic number, because the mean of its divisors is an integer number (278206110).

Almost surely, 2^101456087040 is an apocalyptic number.

101456087040 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 101456087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240370079040).

101456087040 is an abundant number, since it is smaller than the sum of its proper divisors (379284071040).

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

101456087040 is a wasteful number, since it uses less digits than its factorization.

101456087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 101456087040 in words is "one hundred one billion, four hundred fifty-six million, eighty-seven thousand, forty".