492098347440 has 1440 divisors, whose sum is σ = 2091124159488. Its totient is φ = 105293260800.

The previous prime is 492098347439. The next prime is 492098347451. The reversal of 492098347440 is 44743890294.

492098347440 is a `hidden beast` number, since 4 + 92 + 0 + 9 + 83 + 474 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6930962605 + ... + 6930962675.

Almost surely, 2^492098347440 is an apocalyptic number.

492098347440 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 492098347440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045562079744).

492098347440 is an abundant number, since it is smaller than the sum of its proper divisors (1599025812048).

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

492098347440 is a wasteful number, since it uses less digits than its factorization.

492098347440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 492098347440 in words is "four hundred ninety-two billion, ninety-eight million, three hundred forty-seven thousand, four hundred forty".