40958361600 has 408 divisors, whose sum is σ = 146080202352. Its totient is φ = 10066329600.

The previous prime is 40958361593. The next prime is 40958361623. The reversal of 40958361600 is 616385904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63897280 + ... + 63897920.

Almost surely, 2^40958361600 is an apocalyptic number.

40958361600 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 40958361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73040101176).

40958361600 is an abundant number, since it is smaller than the sum of its proper divisors (105121840752).

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

40958361600 is an equidigital number, since it uses as much as digits as its factorization.

40958361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 40958361600 in words is "forty billion, nine hundred fifty-eight million, three hundred sixty-one thousand, six hundred".