40969613376000 has 1760 divisors, whose sum is σ = 157918319486928. Its totient is φ = 10593674035200.

The previous prime is 40969613375927. The next prime is 40969613376019. The reversal of 40969613376000 is 67331696904.

It can be written as a sum of positive squares in 8 ways, for example, as 16318626695424 + 24650986680576 = 4039632^2 + 4964976^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 139828031854 + ... + 139828032146.

Almost surely, 2^{40969613376000} is an apocalyptic number.

40969613376000 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 40969613376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78959159743464).

40969613376000 is an abundant number, since it is smaller than the sum of its proper divisors (116948706110928).

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

40969613376000 is an frugal number, since it uses more digits than its factorization.

40969613376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 40969613376000 in words is "forty trillion, nine hundred sixty-nine billion, six hundred thirteen million, three hundred seventy-six thousand".