40629558060000 has 1440 divisors, whose sum is σ = 179105797398528. Its totient is φ = 8504455680000.

The previous prime is 40629558059953. The next prime is 40629558060001. The reversal of 40629558060000 is 6085592604.

40629558060000 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 9 + 5 + 580 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40629558060001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2080250235 + ... + 2080269765.

Almost surely, 2^{40629558060000} is an apocalyptic number.

40629558060000 is a gapful number since it is divisible by the number (40) 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 40629558060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89552898699264).

40629558060000 is an abundant number, since it is smaller than the sum of its proper divisors (138476239338528).

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

40629558060000 is a wasteful number, since it uses less digits than its factorization.

40629558060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19714 (or 19688 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 40629558060000 in words is "forty trillion, six hundred twenty-nine billion, five hundred fifty-eight million, sixty thousand".