45013410213240 has 384 divisors, whose sum is σ = 164387361600000. Its totient is φ = 9813231977472.

The previous prime is 45013410213229. The next prime is 45013410213307. The reversal of 45013410213240 is 4231201431054.

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 = 45013410213198 and 45013410213207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46721911 + ... + 47675609.

It is an arithmetic number, because the mean of its divisors is an integer number (428092087500).

Almost surely, 2^{45013410213240} is an apocalyptic number.

45013410213240 is a gapful number since it is divisible by the number (40) 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 45013410213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82193680800000).

45013410213240 is an abundant number, since it is smaller than the sum of its proper divisors (119373951386760).

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

45013410213240 is a wasteful number, since it uses less digits than its factorization.

45013410213240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954099 (or 954088 counting only the distinct ones).

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

Adding to 45013410213240 its reverse (4231201431054), we get a palindrome (49244611644294).

The spelling of 45013410213240 in words is "forty-five trillion, thirteen billion, four hundred ten million, two hundred thirteen thousand, two hundred forty".