4132913971200 has 1536 divisors, whose sum is σ = 16522084423680. Its totient is φ = 891813888000.

The previous prime is 4132913971187. The next prime is 4132913971261. The reversal of 4132913971200 is 21793192314.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27370291125 + ... + 27370291275.

It is an arithmetic number, because the mean of its divisors is an integer number (10756565380).

Almost surely, 2^{4132913971200} is an apocalyptic number.

4132913971200 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 4132913971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261042211840).

4132913971200 is an abundant number, since it is smaller than the sum of its proper divisors (12389170452480).

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

4132913971200 is a wasteful number, since it uses less digits than its factorization.

4132913971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 4132913971200 in words is "four trillion, one hundred thirty-two billion, nine hundred thirteen million, nine hundred seventy-one thousand, two hundred".