35406554040 has 192 divisors, whose sum is σ = 135188857440. Its totient is φ = 7923133440.

The previous prime is 35406554021. The next prime is 35406554047. The reversal of 35406554040 is 4045560453.

35406554040 is a `hidden beast` number, since 3 + 54 + 0 + 65 + 540 + 4 + 0 = 666.

It is a super-3 number, since 3×35406554040³ (a number of 33 digits) contains 333 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 = 35406553986 and 35406554004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35406554047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 292407 + ... + 395366.

Almost surely, 2^35406554040 is an apocalyptic number.

35406554040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35406554040 is an abundant number, since it is smaller than the sum of its proper divisors (99782303400).

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

35406554040 is a wasteful number, since it uses less digits than its factorization.

35406554040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687814 (or 687807 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 35406554040 in words is "thirty-five billion, four hundred six million, five hundred fifty-four thousand, forty".