45398610826240 has 264 divisors, whose sum is σ = 129379051768320. Its totient is φ = 15234058764288.

The previous prime is 45398610826211. The next prime is 45398610826249. The reversal of 45398610826240 is 4262801689354.

It is a happy number.

It is a super-2 number, since 2×45398610826240² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45398610826249) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9866281 + ... + 13716439.

Almost surely, 2^{45398610826240} is an apocalyptic number.

45398610826240 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 45398610826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64689525884160).

45398610826240 is an abundant number, since it is smaller than the sum of its proper divisors (83980440942080).

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

45398610826240 is a wasteful number, since it uses less digits than its factorization.

45398610826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850245 (or 3850220 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 58.

The spelling of 45398610826240 in words is "forty-five trillion, three hundred ninety-eight billion, six hundred ten million, eight hundred twenty-six thousand, two hundred forty".