450537673098240 has 2640 divisors, whose sum is σ = 2077233647659632. Its totient is φ = 92487342882816.

The previous prime is 450537673098181. The next prime is 450537673098287. The reversal of 450537673098240 is 42890376735054.

It is a happy number.

450537673098240 is a `hidden beast` number, since 4 + 5 + 0 + 537 + 6 + 7 + 3 + 0 + 98 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 830343757824 + 449707329340416 = 911232^2 + 21206304^2 .

It is a super-3 number, since 3×450537673098240³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9774512634 + ... + 9774558726.

Almost surely, 2^{450537673098240} is an apocalyptic number.

450537673098240 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 450537673098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038616823829816).

450537673098240 is an abundant number, since it is smaller than the sum of its proper divisors (1626695974561392).

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

450537673098240 is a wasteful number, since it uses less digits than its factorization.

450537673098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46194 (or 46160 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 450537673098240 in words is "four hundred fifty trillion, five hundred thirty-seven billion, six hundred seventy-three million, ninety-eight thousand, two hundred forty".