4148924974740 has 1440 divisors, whose sum is σ = 16718957289216. Its totient is φ = 826181959680.

The previous prime is 4148924974739. The next prime is 4148924974757. The reversal of 4148924974740 is 474794298414.

It is a happy number.

4148924974740 is a `hidden beast` number, since 4 + 1 + 489 + 2 + 49 + 74 + 7 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12534516375 + ... + 12534516705.

Almost surely, 2^{4148924974740} 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 4148924974740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8359478644608).

4148924974740 is an abundant number, since it is smaller than the sum of its proper divisors (12570032314476).

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

4148924974740 is a wasteful number, since it uses less digits than its factorization.

4148924974740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 4148924974740 in words is "four trillion, one hundred forty-eight billion, nine hundred twenty-four million, nine hundred seventy-four thousand, seven hundred forty".