4014625134000 has 640 divisors, whose sum is σ = 14355338699520. Its totient is φ = 958832640000.

The previous prime is 4014625133983. The next prime is 4014625134019. The reversal of 4014625134000 is 4315264104.

4014625134000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4014625134000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1157284266 + ... + 1157287734.

It is an arithmetic number, because the mean of its divisors is an integer number (22430216718).

Almost surely, 2^{4014625134000} is an apocalyptic number.

4014625134000 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 4014625134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7177669349760).

4014625134000 is an abundant number, since it is smaller than the sum of its proper divisors (10340713565520).

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

4014625134000 is a wasteful number, since it uses less digits than its factorization.

4014625134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 4014625134000 in words is "four trillion, fourteen billion, six hundred twenty-five million, one hundred thirty-four thousand".