1040201400 has 144 divisors (see below), whose sum is σ = 3751199640. Its totient is φ = 237753600.

The previous prime is 1040201363. The next prime is 1040201413. The reversal of 1040201400 is 41020401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11710 + ... + 47090.

Almost surely, 2^1040201400 is an apocalyptic number.

1040201400 is a gapful number since it is divisible by the number (10) 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 1040201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875599820).

1040201400 is an abundant number, since it is smaller than the sum of its proper divisors (2710998240).

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

1040201400 is a wasteful number, since it uses less digits than its factorization.

1040201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35414 (or 35398 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1040201400 is about 32252.1534164775. The cubic root of 1040201400 is about 1013.2248003374.

Adding to 1040201400 its reverse (41020401), we get a palindrome (1081221801).

The spelling of 1040201400 in words is "one billion, forty million, two hundred one thousand, four hundred".