1098224069040 has 800 divisors, whose sum is σ = 4412933268480. Its totient is φ = 247948646400.

The previous prime is 1098224069039. The next prime is 1098224069051. The reversal of 1098224069040 is 409604228901.

1098224069040 is a `hidden beast` number, since 10 + 98 + 22 + 406 + 90 + 40 = 666.

It is a super-2 number, since 2×1098224069040² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2501649141 + ... + 2501649579.

Almost surely, 2^{1098224069040} is an apocalyptic number.

1098224069040 is a gapful number since it is divisible by the number (10) 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 1098224069040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206466634240).

1098224069040 is an abundant number, since it is smaller than the sum of its proper divisors (3314709199440).

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

1098224069040 is a wasteful number, since it uses less digits than its factorization.

1098224069040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1098224069040 in words is "one trillion, ninety-eight billion, two hundred twenty-four million, sixty-nine thousand, forty".