1623268450440 has 2304 divisors, whose sum is σ = 7174911744000. Its totient is φ = 329533940736.

The previous prime is 1623268450409. The next prime is 1623268450451. The reversal of 1623268450440 is 440548623261.

1623268450440 is a `hidden beast` number, since 1 + 6 + 2 + 3 + 26 + 84 + 504 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 24227887287 + ... + 24227887353.

It is an arithmetic number, because the mean of its divisors is an integer number (3114111000).

Almost surely, 2^{1623268450440} is an apocalyptic number.

1623268450440 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 1623268450440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587455872000).

1623268450440 is an abundant number, since it is smaller than the sum of its proper divisors (5551643293560).

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

1623268450440 is a wasteful number, since it uses less digits than its factorization.

1623268450440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 1623268450440 in words is "one trillion, six hundred twenty-three billion, two hundred sixty-eight million, four hundred fifty thousand, four hundred forty".