4954800240000 has 2560 divisors, whose sum is σ = 21359612736000. Its totient is φ = 1119744000000.

The previous prime is 4954800239969. The next prime is 4954800240029. The reversal of 4954800240000 is 420084594.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19740239875 + ... + 19740240125.

It is an arithmetic number, because the mean of its divisors is an integer number (8343598725).

Almost surely, 2^{4954800240000} is an apocalyptic number.

4954800240000 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 4954800240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10679806368000).

4954800240000 is an abundant number, since it is smaller than the sum of its proper divisors (16404812496000).

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

4954800240000 is a wasteful number, since it uses less digits than its factorization.

4954800240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 4954800240000 in words is "four trillion, nine hundred fifty-four billion, eight hundred million, two hundred forty thousand".