4123146240000 has 900 divisors, whose sum is σ = 15444491886824. Its totient is φ = 1098842112000.

The previous prime is 4123146239987. The next prime is 4123146240013. The reversal of 4123146240000 is 426413214.

It is a happy number.

4123146240000 is a `hidden beast` number, since 4 + 1 + 2 + 31 + 4 + 624 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4123146239987) and next prime (4123146240013).

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×4123146240000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2488319172 + ... + 2488320828.

Almost surely, 2^{4123146240000} is an apocalyptic number.

4123146240000 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 4123146240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722245943412).

4123146240000 is an abundant number, since it is smaller than the sum of its proper divisors (11321345646824).

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

4123146240000 is an frugal number, since it uses more digits than its factorization.

4123146240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 4123146240000 in words is "four trillion, one hundred twenty-three billion, one hundred forty-six million, two hundred forty thousand".