40030131040400 has 60 divisors (see below), whose sum is σ = 97748986438644. Its totient is φ = 15749559744000.

The previous prime is 40030131040399. The next prime is 40030131040423. The reversal of 40030131040400 is 404013103004.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3557614634896 + 36472516405504 = 1886164^2 + 6039248^2 .

It is a super-2 number, since 2×40030131040400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820265171 + ... + 820313970.

Almost surely, 2^{40030131040400} is an apocalyptic number.

40030131040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40030131040400 is an abundant number, since it is smaller than the sum of its proper divisors (57718855398244).

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

40030131040400 is a wasteful number, since it uses less digits than its factorization.

40030131040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640579220 (or 1640579209 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 40030131040400 its reverse (404013103004), we get a palindrome (40434144143404).

The spelling of 40030131040400 in words is "forty trillion, thirty billion, one hundred thirty-one million, forty thousand, four hundred".