10140101521440 has 384 divisors, whose sum is σ = 37091184076800. Its totient is φ = 2302658519040.

The previous prime is 10140101521369. The next prime is 10140101521457. The reversal of 10140101521440 is 4412510104101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10140101521440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8360629 + ... + 9496331.

It is an arithmetic number, because the mean of its divisors is an integer number (96591625200).

Almost surely, 2^{10140101521440} is an apocalyptic number.

10140101521440 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 10140101521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18545592038400).

10140101521440 is an abundant number, since it is smaller than the sum of its proper divisors (26951082555360).

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

10140101521440 is a wasteful number, since it uses less digits than its factorization.

10140101521440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135840 (or 1135832 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 10140101521440 its reverse (4412510104101), we get a palindrome (14552611625541).

The spelling of 10140101521440 in words is "ten trillion, one hundred forty billion, one hundred one million, five hundred twenty-one thousand, four hundred forty".