245415334105440 has 192 divisors, whose sum is σ = 859254361398720. Its totient is φ = 65421179228160.

The previous prime is 245415334105439. The next prime is 245415334105481. The reversal of 245415334105440 is 44501433514542.

245415334105440 is a `hidden beast` number, since 2 + 4 + 5 + 4 + 1 + 533 + 4 + 105 + 4 + 4 + 0 = 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 31 ways as a sum of consecutive naturals, for example, 2400150 + ... + 22284330.

It is an arithmetic number, because the mean of its divisors is an integer number (4475283132285).

Almost surely, 2^{245415334105440} is an apocalyptic number.

245415334105440 is a gapful number since it is divisible by the number (20) 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 245415334105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429627180699360).

245415334105440 is an abundant number, since it is smaller than the sum of its proper divisors (613839027293280).

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

245415334105440 is a wasteful number, since it uses less digits than its factorization.

245415334105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19887062 (or 19887048 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 245415334105440 its reverse (44501433514542), we get a palindrome (289916767619982).

The spelling of 245415334105440 in words is "two hundred forty-five trillion, four hundred fifteen billion, three hundred thirty-four million, one hundred five thousand, four hundred forty".