1051404157440 has 2240 divisors, whose sum is σ = 4796869980672. Its totient is φ = 214990848000.

The previous prime is 1051404157379. The next prime is 1051404157459. The reversal of 1051404157440 is 447514041501.

1051404157440 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 4 + 0 + 41 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×1051404157440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1051404157395 and 1051404157404.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6962941365 + ... + 6962941515.

Almost surely, 2^{1051404157440} is an apocalyptic number.

1051404157440 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 1051404157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398434990336).

1051404157440 is an abundant number, since it is smaller than the sum of its proper divisors (3745465823232).

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

1051404157440 is an equidigital number, since it uses as much as digits as its factorization.

1051404157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

Adding to 1051404157440 its reverse (447514041501), we get a palindrome (1498918198941).

The spelling of 1051404157440 in words is "one trillion, fifty-one billion, four hundred four million, one hundred fifty-seven thousand, four hundred forty".