1046121036400 has 180 divisors, whose sum is σ = 2778015555000. Its totient is φ = 378279334400.

The previous prime is 1046121036391. The next prime is 1046121036419. The reversal of 1046121036400 is 46301216401.

1046121036400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1046121036400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8603226 + ... + 8723974.

It is an arithmetic number, because the mean of its divisors is an integer number (15433419750).

Almost surely, 2^{1046121036400} is an apocalyptic number.

1046121036400 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 1046121036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389007777500).

1046121036400 is an abundant number, since it is smaller than the sum of its proper divisors (1731894518600).

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

1046121036400 is a wasteful number, since it uses less digits than its factorization.

1046121036400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120968 (or 120946 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 1046121036400 in words is "one trillion, forty-six billion, one hundred twenty-one million, thirty-six thousand, four hundred".