40735722132000 has 432 divisors, whose sum is σ = 168174526410072. Its totient is φ = 9311021798400.

The previous prime is 40735722131953. The next prime is 40735722132019. The reversal of 40735722132000 is 23122753704.

40735722132000 is a `hidden beast` number, since 4 + 0 + 73 + 572 + 2 + 13 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19864456785936 + 20871265346064 = 4456956^2 + 4568508^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9782407 + ... + 13310406.

Almost surely, 2^{40735722132000} is an apocalyptic number.

40735722132000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40735722132000 is an abundant number, since it is smaller than the sum of its proper divisors (127438804278072).

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

40735722132000 is a wasteful number, since it uses less digits than its factorization.

40735722132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23092858 (or 23092830 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

Adding to 40735722132000 its reverse (23122753704), we get a palindrome (40758844885704).

The spelling of 40735722132000 in words is "forty trillion, seven hundred thirty-five billion, seven hundred twenty-two million, one hundred thirty-two thousand".