45340611402240 has 960 divisors, whose sum is σ = 196790143410432. Its totient is φ = 9372539289600.

The previous prime is 45340611402227. The next prime is 45340611402257. The reversal of 45340611402240 is 4220411604354.

45340611402240 is a `hidden beast` number, since 4 + 5 + 3 + 4 + 0 + 6 + 1 + 1 + 402 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45340611402195 and 45340611402204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 342331230 + ... + 342463650.

Almost surely, 2^{45340611402240} is an apocalyptic number.

45340611402240 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 45340611402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98395071705216).

45340611402240 is an abundant number, since it is smaller than the sum of its proper divisors (151449532008192).

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

45340611402240 is a wasteful number, since it uses less digits than its factorization.

45340611402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132661 (or 132642 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 45340611402240 in words is "forty-five trillion, three hundred forty billion, six hundred eleven million, four hundred two thousand, two hundred forty".