1401011400 has 192 divisors, whose sum is σ = 4469803200. Its totient is φ = 362880000.

The previous prime is 1401011399. The next prime is 1401011467. The reversal of 1401011400 is 41101041.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3696411 + ... + 3696789.

It is an arithmetic number, because the mean of its divisors is an integer number (23280225).

Almost surely, 2^1401011400 is an apocalyptic number.

1401011400 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 1401011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234901600).

1401011400 is an abundant number, since it is smaller than the sum of its proper divisors (3068791800).

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

1401011400 is a wasteful number, since it uses less digits than its factorization.

1401011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1401011400 is about 37430.0868286463. The cubic root of 1401011400 is about 1118.9582681869.

Adding to 1401011400 its reverse (41101041), we get a palindrome (1442112441).

The spelling of 1401011400 in words is "one billion, four hundred one million, eleven thousand, four hundred".