35479003658040 has 192 divisors, whose sum is σ = 119582733684960. Its totient is φ = 9460644272640.

The previous prime is 35479003658029. The next prime is 35479003658071. The reversal of 35479003658040 is 4085630097453.

35479003658040 is a `hidden beast` number, since 3 + 54 + 7 + 9 + 0 + 0 + 3 + 6 + 580 + 4 + 0 = 666.

It is a super-3 number, since 3×35479003658040³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259620930 + ... + 259757550.

Almost surely, 2^{35479003658040} is an apocalyptic number.

35479003658040 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 35479003658040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59791366842480).

35479003658040 is an abundant number, since it is smaller than the sum of its proper divisors (84103730026920).

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

35479003658040 is a wasteful number, since it uses less digits than its factorization.

35479003658040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163364 (or 163348 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 35479003658040 in words is "thirty-five trillion, four hundred seventy-nine billion, three million, six hundred fifty-eight thousand, forty".