42633990400 has 243 divisors, whose sum is σ = 110531860621. Its totient is φ = 16280535040.

The previous prime is 42633990367. The next prime is 42633990433. The reversal of 42633990400 is 409933624.

The square root of 42633990400 is 206480.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (42633990367) and next prime (42633990433).

It can be written as a sum of positive squares in 13 ways, for example, as 37996925184 + 4637065216 = 194928^2 + 68096^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 479033556 + ... + 479033644.

Almost surely, 2^42633990400 is an apocalyptic number.

42633990400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42633990400 is the 206480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42633990400

42633990400 is an abundant number, since it is smaller than the sum of its proper divisors (67897870221).

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

42633990400 is an frugal number, since it uses more digits than its factorization.

42633990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 42633990400 in words is "forty-two billion, six hundred thirty-three million, nine hundred ninety thousand, four hundred".