1401050628096 has 352 divisors, whose sum is σ = 4421130906240. Its totient is φ = 386144403456.

The previous prime is 1401050628071. The next prime is 1401050628101. The reversal of 1401050628096 is 6908260501041.

It is a super-2 number, since 2×1401050628096² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1277165020 + ... + 1277166116.

Almost surely, 2^{1401050628096} is an apocalyptic number.

1401050628096 is a gapful number since it is divisible by the number (16) 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 1401050628096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210565453120).

1401050628096 is an abundant number, since it is smaller than the sum of its proper divisors (3020080278144).

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

1401050628096 is an frugal number, since it uses more digits than its factorization.

1401050628096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 1401050628096 in words is "one trillion, four hundred one billion, fifty million, six hundred twenty-eight thousand, ninety-six".