1634105200440 has 128 divisors (see below), whose sum is σ = 5193157354560. Its totient is φ = 409933185024.

The previous prime is 1634105200417. The next prime is 1634105200471. The reversal of 1634105200440 is 440025014361.

It is a super-2 number, since 2×1634105200440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1634105200398 and 1634105200407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4120972 + ... + 4500068.

Almost surely, 2^{1634105200440} is an apocalyptic number.

1634105200440 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 1634105200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596578677280).

1634105200440 is an abundant number, since it is smaller than the sum of its proper divisors (3559052154120).

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

1634105200440 is a wasteful number, since it uses less digits than its factorization.

1634105200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381241 (or 381237 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 1634105200440 in words is "one trillion, six hundred thirty-four billion, one hundred five million, two hundred thousand, four hundred forty".