40091671134900 has 1620 divisors, whose sum is σ = 172415401583040. Its totient is φ = 7968071865600.

The previous prime is 40091671134883. The next prime is 40091671134919. The reversal of 40091671134900 is 943117619004.

It is a happy number.

40091671134900 is a `hidden beast` number, since 4 + 0 + 0 + 91 + 6 + 71 + 1 + 3 + 490 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 2309552421 + ... + 2309569779.

Almost surely, 2^{40091671134900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40091671134900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86207700791520).

40091671134900 is an abundant number, since it is smaller than the sum of its proper divisors (132323730448140).

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

40091671134900 is a wasteful number, since it uses less digits than its factorization.

40091671134900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17456 (or 17410 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 40091671134900 in words is "forty trillion, ninety-one billion, six hundred seventy-one million, one hundred thirty-four thousand, nine hundred".