101334541440 has 256 divisors, whose sum is σ = 359020252800. Its totient is φ = 24102174720.

The previous prime is 101334541411. The next prime is 101334541447. The reversal of 101334541440 is 44145433101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101334541398 and 101334541407.

It is not an unprimeable number, because it can be changed into a prime (101334541447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1074096 + ... + 1164624.

Almost surely, 2^101334541440 is an apocalyptic number.

101334541440 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 101334541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179510126400).

101334541440 is an abundant number, since it is smaller than the sum of its proper divisors (257685711360).

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

101334541440 is a wasteful number, since it uses less digits than its factorization.

101334541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90615 (or 90603 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 101334541440 its reverse (44145433101), we get a palindrome (145479974541).

The spelling of 101334541440 in words is "one hundred one billion, three hundred thirty-four million, five hundred forty-one thousand, four hundred forty".