4125490237440 has 3744 divisors, whose sum is σ = 19186321609728. Its totient is φ = 840853094400.

The previous prime is 4125490237433. The next prime is 4125490237493. The reversal of 4125490237440 is 447320945214.

4125490237440 is a `hidden beast` number, since 4 + 12 + 549 + 0 + 23 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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 287 ways as a sum of consecutive naturals, for example, 133080330225 + ... + 133080330255.

It is an arithmetic number, because the mean of its divisors is an integer number (5124551712).

Almost surely, 2^{4125490237440} is an apocalyptic number.

4125490237440 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 4125490237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9593160804864).

4125490237440 is an abundant number, since it is smaller than the sum of its proper divisors (15060831372288).

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

4125490237440 is a wasteful number, since it uses less digits than its factorization.

4125490237440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4125490237440 in words is "four trillion, one hundred twenty-five billion, four hundred ninety million, two hundred thirty-seven thousand, four hundred forty".