298856514378240 has 3840 divisors, whose sum is σ = 1331426965220352. Its totient is φ = 60291035430912.

The previous prime is 298856514378229. The next prime is 298856514378397. The reversal of 298856514378240 is 42873415658892.

298856514378240 is a `hidden beast` number, since 2 + 9 + 8 + 8 + 5 + 6 + 5 + 1 + 4 + 378 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×298856514378240² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1019988103534 + ... + 1019988103826.

It is a 3-persistent number, because k⋅298856514378240 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{298856514378240} is an apocalyptic number.

298856514378240 is a gapful number since it is divisible by the number (20) 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 298856514378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665713482610176).

298856514378240 is an abundant number, since it is smaller than the sum of its proper divisors (1032570450842112).

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

298856514378240 is a wasteful number, since it uses less digits than its factorization.

298856514378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 298856514378240 in words is "two hundred ninety-eight trillion, eight hundred fifty-six billion, five hundred fourteen million, three hundred seventy-eight thousand, two hundred forty".