45311240000 has 280 divisors, whose sum is σ = 122642741760. Its totient is φ = 16503552000.

The previous prime is 45311239997. The next prime is 45311240027. The reversal of 45311240000 is 4211354.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41079449 + ... + 41080551.

It is an arithmetic number, because the mean of its divisors is an integer number (438009792).

Almost surely, 2^45311240000 is an apocalyptic number.

45311240000 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 45311240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61321370880).

45311240000 is an abundant number, since it is smaller than the sum of its proper divisors (77331501760).

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

45311240000 is a wasteful number, since it uses less digits than its factorization.

45311240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 45311240000 its reverse (4211354), we get a palindrome (45315451354).

The spelling of 45311240000 in words is "forty-five billion, three hundred eleven million, two hundred forty thousand".