40301033020400 has 120 divisors (see below), whose sum is σ = 102559265077104. Its totient is φ = 15166152601600.

The previous prime is 40301033020351. The next prime is 40301033020421. The reversal of 40301033020400 is 402033010304.

It is a super-2 number, since 2×40301033020400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 16039994 + ... + 18381606.

Almost surely, 2^{40301033020400} is an apocalyptic number.

40301033020400 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 40301033020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51279632538552).

40301033020400 is an abundant number, since it is smaller than the sum of its proper divisors (62258232056704).

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

40301033020400 is a wasteful number, since it uses less digits than its factorization.

40301033020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344179 (or 2344168 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 40301033020400 its reverse (402033010304), we get a palindrome (40703066030704).

The spelling of 40301033020400 in words is "forty trillion, three hundred one billion, thirty-three million, twenty thousand, four hundred".