10362198013440 has 640 divisors, whose sum is σ = 40833698476032. Its totient is φ = 2182962216960.

The previous prime is 10362198013423. The next prime is 10362198013451. The reversal of 10362198013440 is 4431089126301.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×10362198013440³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10362198013392 and 10362198013401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470335225 + ... + 470357255.

Almost surely, 2^{10362198013440} is an apocalyptic number.

10362198013440 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 10362198013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20416849238016).

10362198013440 is an abundant number, since it is smaller than the sum of its proper divisors (30471500462592).

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

10362198013440 is a wasteful number, since it uses less digits than its factorization.

10362198013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22750 (or 22734 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 10362198013440 in words is "ten trillion, three hundred sixty-two billion, one hundred ninety-eight million, thirteen thousand, four hundred forty".