45078670028340 has 384 divisors, whose sum is σ = 152270545996800. Its totient is φ = 11005722408960.

The previous prime is 45078670028333. The next prime is 45078670028389. The reversal of 45078670028340 is 4382007687054.

45078670028340 is a `hidden beast` number, since 4 + 507 + 8 + 6 + 70 + 0 + 28 + 3 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 422740230 + ... + 422846850.

It is an arithmetic number, because the mean of its divisors is an integer number (396537880200).

Almost surely, 2^{45078670028340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45078670028340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76135272998400).

45078670028340 is an abundant number, since it is smaller than the sum of its proper divisors (107191875968460).

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

45078670028340 is a wasteful number, since it uses less digits than its factorization.

45078670028340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107144 (or 107136 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 45078670028340 in words is "forty-five trillion, seventy-eight billion, six hundred seventy million, twenty-eight thousand, three hundred forty".