31361430404040 has 128 divisors (see below), whose sum is σ = 103485652168320. Its totient is φ = 7602770968320.

The previous prime is 31361430403991. The next prime is 31361430404041. The reversal of 31361430404040 is 4040403416313.

It is a happy number.

It is a super-3 number, since 3×31361430404040³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 31361430403992 and 31361430404010.

It is not an unprimeable number, because it can be changed into a prime (31361430404041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98016559 + ... + 98335998.

It is an arithmetic number, because the mean of its divisors is an integer number (808481657565).

Almost surely, 2^{31361430404040} is an apocalyptic number.

31361430404040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31361430404040 is an abundant number, since it is smaller than the sum of its proper divisors (72124221764280).

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

31361430404040 is a wasteful number, since it uses less digits than its factorization.

31361430404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196352604 (or 196352578 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 31361430404040 in words is "thirty-one trillion, three hundred sixty-one billion, four hundred thirty million, four hundred four thousand, forty".