4152781748640 has 384 divisors, whose sum is σ = 15038852677632. Its totient is φ = 943579422720.

The previous prime is 4152781748629. The next prime is 4152781748641. The reversal of 4152781748640 is 468471872514.

It is a super-2 number, since 2×4152781748640² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4152781748641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 570198439 + ... + 570205721.

It is an arithmetic number, because the mean of its divisors is an integer number (39163678848).

Almost surely, 2^{4152781748640} is an apocalyptic number.

4152781748640 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 4152781748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7519426338816).

4152781748640 is an abundant number, since it is smaller than the sum of its proper divisors (10886070928992).

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

4152781748640 is a wasteful number, since it uses less digits than its factorization.

4152781748640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8292 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 57.

The spelling of 4152781748640 in words is "four trillion, one hundred fifty-two billion, seven hundred eighty-one million, seven hundred forty-eight thousand, six hundred forty".