4149693900000 has 432 divisors, whose sum is σ = 16090861275216. Its totient is φ = 1005984000000.

The previous prime is 4149693899983. The next prime is 4149693900007. The reversal of 4149693900000 is 93969414.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4149693900007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9690420 + ... + 10109580.

It is an arithmetic number, because the mean of its divisors is an integer number (37247364063).

Almost surely, 2^{4149693900000} is an apocalyptic number.

4149693900000 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 4149693900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8045430637608).

4149693900000 is an abundant number, since it is smaller than the sum of its proper divisors (11941167375216).

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

4149693900000 is a wasteful number, since it uses less digits than its factorization.

4149693900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419213 (or 419182 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 4149693900000 in words is "four trillion, one hundred forty-nine billion, six hundred ninety-three million, nine hundred thousand".