4945267261440 has 1008 divisors, whose sum is σ = 19433088407376. Its totient is φ = 1197578649600.

The previous prime is 4945267261421. The next prime is 4945267261483. The reversal of 4945267261440 is 441627625494.

4945267261440 is a `hidden beast` number, since 4 + 9 + 4 + 526 + 72 + 6 + 1 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5255331370 + ... + 5255332310.

It is an arithmetic number, because the mean of its divisors is an integer number (19278857547).

Almost surely, 2^{4945267261440} is an apocalyptic number.

4945267261440 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 4945267261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9716544203688).

4945267261440 is an abundant number, since it is smaller than the sum of its proper divisors (14487821145936).

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

4945267261440 is an frugal number, since it uses more digits than its factorization.

4945267261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4945267261440 in words is "four trillion, nine hundred forty-five billion, two hundred sixty-seven million, two hundred sixty-one thousand, four hundred forty".