10212040451400 has 384 divisors, whose sum is σ = 32764310092800. Its totient is φ = 2630111616000.

The previous prime is 10212040451339. The next prime is 10212040451423. The reversal of 10212040451400 is 415404021201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 418188391 + ... + 418212809.

It is an arithmetic number, because the mean of its divisors is an integer number (85323724200).

Almost surely, 2^{10212040451400} is an apocalyptic number.

10212040451400 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 10212040451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382155046400).

10212040451400 is an abundant number, since it is smaller than the sum of its proper divisors (22552269641400).

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

10212040451400 is a wasteful number, since it uses less digits than its factorization.

10212040451400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24709 (or 24700 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 10212040451400 its reverse (415404021201), we get a palindrome (10627444472601).

The spelling of 10212040451400 in words is "ten trillion, two hundred twelve billion, forty million, four hundred fifty-one thousand, four hundred".