4240515075840 has 576 divisors, whose sum is σ = 15260167802880. Its totient is φ = 1114953154560.

The previous prime is 4240515075793. The next prime is 4240515075883. The reversal of 4240515075840 is 485705150424.

4240515075840 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 51 + 507 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 857880409 + ... + 857885351.

It is an arithmetic number, because the mean of its divisors is an integer number (26493346880).

Almost surely, 2^{4240515075840} is an apocalyptic number.

4240515075840 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 4240515075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7630083901440).

4240515075840 is an abundant number, since it is smaller than the sum of its proper divisors (11019652727040).

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

4240515075840 is a wasteful number, since it uses less digits than its factorization.

4240515075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5317 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 4240515075840 in words is "four trillion, two hundred forty billion, five hundred fifteen million, seventy-five thousand, eight hundred forty".