1042211432400 has 240 divisors, whose sum is σ = 3363769080000. Its totient is φ = 275826913280.

The previous prime is 1042211432347. The next prime is 1042211432407. The reversal of 1042211432400 is 42341122401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042211432407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375299812 + ... + 375302588.

It is an arithmetic number, because the mean of its divisors is an integer number (14015704500).

Almost surely, 2^{1042211432400} is an apocalyptic number.

1042211432400 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 1042211432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681884540000).

1042211432400 is an abundant number, since it is smaller than the sum of its proper divisors (2321557647600).

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

1042211432400 is a wasteful number, since it uses less digits than its factorization.

1042211432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1042211432400 its reverse (42341122401), we get a palindrome (1084552554801).

The spelling of 1042211432400 in words is "one trillion, forty-two billion, two hundred eleven million, four hundred thirty-two thousand, four hundred".