45402240000 has 880 divisors, whose sum is σ = 174041638848. Its totient is φ = 10420224000.

The previous prime is 45402239977. The next prime is 45402240019. The reversal of 45402240000 is 4220454.

It is a super-2 number, since 2×45402240000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 424319947 + ... + 424320053.

Almost surely, 2^45402240000 is an apocalyptic number.

45402240000 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 45402240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87020819424).

45402240000 is an abundant number, since it is smaller than the sum of its proper divisors (128639398848).

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

45402240000 is a wasteful number, since it uses less digits than its factorization.

45402240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

Adding to 45402240000 its reverse (4220454), we get a palindrome (45406460454).

The spelling of 45402240000 in words is "forty-five billion, four hundred two million, two hundred forty thousand".