40921429671936 has 2048 divisors, whose sum is σ = 145852850534400. Its totient is φ = 11351516774400.

The previous prime is 40921429671893. The next prime is 40921429672093. The reversal of 40921429671936 is 63917692412904.

40921429671936 is a `hidden beast` number, since 40 + 9 + 21 + 429 + 67 + 1 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 670843109346 + ... + 670843109406.

It is an arithmetic number, because the mean of its divisors is an integer number (71217212175).

Almost surely, 2^{40921429671936} is an apocalyptic number.

40921429671936 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40921429671936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72926425267200).

40921429671936 is an abundant number, since it is smaller than the sum of its proper divisors (104931420862464).

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

40921429671936 is an frugal number, since it uses more digits than its factorization.

40921429671936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 40921429671936 in words is "forty trillion, nine hundred twenty-one billion, four hundred twenty-nine million, six hundred seventy-one thousand, nine hundred thirty-six".