100015020541440 has 240 divisors, whose sum is σ = 346403978949600. Its totient is φ = 26668837011456.

The previous prime is 100015020541439. The next prime is 100015020541489. The reversal of 100015020541440 is 44145020510001.

100015020541440 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 5 + 0 + 205 + 414 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352808076 + ... + 353091444.

It is an arithmetic number, because the mean of its divisors is an integer number (1443349912290).

Almost surely, 2^{100015020541440} is an apocalyptic number.

100015020541440 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 100015020541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173201989474800).

100015020541440 is an abundant number, since it is smaller than the sum of its proper divisors (246388958408160).

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

100015020541440 is a wasteful number, since it uses less digits than its factorization.

100015020541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298717 (or 298698 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 100015020541440 in words is "one hundred trillion, fifteen billion, twenty million, five hundred forty-one thousand, four hundred forty".