4118254237440 has 1152 divisors, whose sum is σ = 16926627594240. Its totient is φ = 928740556800.

The previous prime is 4118254237429. The next prime is 4118254237463. The reversal of 4118254237440 is 447324528114.

4118254237440 is a `hidden beast` number, since 4 + 1 + 182 + 5 + 4 + 23 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 9555114025 + ... + 9555114455.

It is an arithmetic number, because the mean of its divisors is an integer number (14693253120).

Almost surely, 2^{4118254237440} is an apocalyptic number.

4118254237440 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 4118254237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8463313797120).

4118254237440 is an abundant number, since it is smaller than the sum of its proper divisors (12808373356800).

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

4118254237440 is a wasteful number, since it uses less digits than its factorization.

4118254237440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 4118254237440 in words is "four trillion, one hundred eighteen billion, two hundred fifty-four million, two hundred thirty-seven thousand, four hundred forty".