4967249040 has 960 divisors, whose sum is σ = 21058652160. Its totient is φ = 1035141120.

The previous prime is 4967249029. The next prime is 4967249047. The reversal of 4967249040 is 409427694.

4967249040 is a `hidden beast` number, since 4 + 96 + 72 + 490 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4967249047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93721654 + ... + 93721706.

It is an arithmetic number, because the mean of its divisors is an integer number (21936096).

Almost surely, 2^4967249040 is an apocalyptic number.

4967249040 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 4967249040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529326080).

4967249040 is an abundant number, since it is smaller than the sum of its proper divisors (16091403120).

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

4967249040 is a wasteful number, since it uses less digits than its factorization.

4967249040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4967249040 is about 70478.7133821269. The cubic root of 4967249040 is about 1706.2342081218.

The spelling of 4967249040 in words is "four billion, nine hundred sixty-seven million, two hundred forty-nine thousand, forty".