4956828099840 has 1440 divisors, whose sum is σ = 19637066566656. Its totient is φ = 1188342005760.

The previous prime is 4956828099833. The next prime is 4956828099841. The reversal of 4956828099840 is 489908286594.

4956828099840 is a `hidden beast` number, since 495 + 6 + 8 + 2 + 8 + 0 + 9 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×4956828099840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4956828099841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4535066334 + ... + 4535067426.

Almost surely, 2^{4956828099840} is an apocalyptic number.

4956828099840 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 4956828099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9818533283328).

4956828099840 is an abundant number, since it is smaller than the sum of its proper divisors (14680238466816).

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

4956828099840 is a wasteful number, since it uses less digits than its factorization.

4956828099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 4956828099840 in words is "four trillion, nine hundred fifty-six billion, eight hundred twenty-eight million, ninety-nine thousand, eight hundred forty".