35438135040 has 1440 divisors, whose sum is σ = 165821838336. Its totient is φ = 7007109120.

The previous prime is 35438135023. The next prime is 35438135041. The reversal of 35438135040 is 4053183453.

35438135040 is a `hidden beast` number, since 3 + 543 + 81 + 35 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×35438135040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 35438134986 and 35438135004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35438135041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 183617184 + ... + 183617376.

Almost surely, 2^35438135040 is an apocalyptic number.

35438135040 is a gapful number since it is divisible by the number (30) 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 35438135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82910919168).

35438135040 is an abundant number, since it is smaller than the sum of its proper divisors (130383703296).

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

35438135040 is a wasteful number, since it uses less digits than its factorization.

35438135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 35438135040 in words is "thirty-five billion, four hundred thirty-eight million, one hundred thirty-five thousand, forty".